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223131440 = 24571967313
BaseRepresentation
bin11010100110010…
…11011100110000
3120112212020210102
431103023130300
5424110201230
634050251532
75346404660
oct1523133460
9515766712
10223131440
11104a51a54
1262886ba8
13372c5b4c
14218c41a0
15148c8045
hexd4cb730

223131440 has 160 divisors (see below), whose sum is σ = 635435520. Its totient is φ = 71165952.

The previous prime is 223131413. The next prime is 223131457. The reversal of 223131440 is 44131322.

223131440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231314403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712724 + ... + 713036.

It is an arithmetic number, because the mean of its divisors is an integer number (3971472).

Almost surely, 2223131440 is an apocalyptic number.

223131440 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 223131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317717760).

223131440 is an abundant number, since it is smaller than the sum of its proper divisors (412304080).

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

223131440 is a wasteful number, since it uses less digits than its factorization.

223131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 223131440 is about 14937.5848114747. The cubic root of 223131440 is about 606.5318193762.

Adding to 223131440 its reverse (44131322), we get a palindrome (267262762).

The spelling of 223131440 in words is "two hundred twenty-three million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 67 70 76 80 95 112 133 134 140 152 190 266 268 280 304 313 335 380 469 532 536 560 626 665 670 760 938 1064 1072 1252 1273 1330 1340 1520 1565 1876 2128 2191 2345 2504 2546 2660 2680 3130 3752 4382 4690 5008 5092 5320 5360 5947 6260 6365 7504 8764 8911 9380 10184 10640 10955 11894 12520 12730 17528 17822 18760 20368 20971 21910 23788 25040 25460 29735 35056 35644 37520 41629 41942 43820 44555 47576 50920 59470 71288 83258 83884 87640 89110 95152 101840 104855 118940 142576 146797 166516 167768 175280 178220 208145 209710 237880 293594 333032 335536 356440 398449 416290 419420 475760 587188 666064 712880 733985 796898 832580 838840 1174376 1467970 1593796 1665160 1677680 1992245 2348752 2789143 2935940 3187592 3330320 3984490 5578286 5871880 6375184 7968980 11156572 11743760 13945715 15937960 22313144 27891430 31875920 44626288 55782860 111565720 223131440