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223226732111440 = 24567173271888313
BaseRepresentation
bin110010110000011000000110…
…000100100110011001010000
31002021101021012202211111012011
4302300120012010212121100
5213224321321410031230
62110432540043112304
765006412342625501
oct6260300604463120
91067337182744164
10223226732111440
1165143a1a84a242
1221052a04b12694
1397732627387a5
143d1a335286ba8
151ac198d8a8e2a
hexcb0606126650

223226732111440 has 160 divisors (see below), whose sum is σ = 531748796898816. Its totient is φ = 87126777999360.

The previous prime is 223226732111431. The next prime is 223226732111473. The reversal of 223226732111440 is 44111237622322.

It is a super-3 number, since 3×2232267321114403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 223226732111393 and 223226732111402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250848724 + ... + 251737036.

Almost surely, 2223226732111440 is an apocalyptic number.

223226732111440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223226732111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265874398449408).

223226732111440 is an abundant number, since it is smaller than the sum of its proper divisors (308522064787376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223226732111440 is a wasteful number, since it uses less digits than its factorization.

223226732111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888837 (or 888831 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

Adding to 223226732111440 its reverse (44111237622322), we get a palindrome (267337969733762).

The spelling of 223226732111440 in words is "two hundred twenty-three trillion, two hundred twenty-six billion, seven hundred thirty-two million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 173 268 271 335 346 536 542 670 692 865 1072 1084 1340 1355 1384 1730 2168 2680 2710 2768 3460 4336 5360 5420 6920 10840 11591 13840 18157 21680 23182 36314 46364 46883 57955 72628 90785 92728 93766 115910 145256 181570 185456 187532 231820 234415 290512 363140 375064 463640 468830 726280 750128 888313 927280 937660 1452560 1776626 1875320 3141161 3553252 3750640 4441565 6282322 7106504 8883130 12564644 14213008 15705805 17766260 25129288 31411610 35532520 50258576 59516971 62823220 71065040 119033942 125646440 153678149 238067884 240732823 251292880 297584855 307356298 476135768 481465646 595169710 614712596 768390745 952271536 962931292 1190339420 1203664115 1229425192 1536781490 1925862584 2380678840 2407328230 2458850384 3073562980 3851725168 4761357680 4814656460 6147125960 9629312920 10296435983 12294251920 16129099141 19258625840 20592871966 32258198282 41185743932 41646778379 51482179915 64516396564 80645495705 82371487864 83293556758 102964359830 129032793128 161290991410 164742975728 166587113516 205928719660 208233891895 258065586256 322581982820 333174227032 411857439320 416467783790 645163965640 666348454064 823714878640 832935567580 1290327931280 1665871135160 2790334151393 3331742270320 5580668302786 11161336605572 13951670756965 22322673211144 27903341513930 44645346422288 55806683027860 111613366055720 223226732111440