Search a number
-
+
223021333222000 = 24531571813924083
BaseRepresentation
bin110010101101011000110011…
…010110000001001001110000
31002020122122001011120210200121
4302231120303112001021300
5213212440142301101000
62110154330332100024
764655521354106155
oct6255306326011160
91066578034523617
10223021333222000
11650748a84a4545
122101b041304614
139759a8aa47aa1
143d1040c14c22c
151abb46b488b1a
hexcad633581270

223021333222000 has 160 divisors (see below), whose sum is σ = 545698880161344. Its totient is φ = 88150578048000.

The previous prime is 223021333221989. The next prime is 223021333222007. The reversal of 223021333222000 is 222333120322.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223021333222007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54871959 + ... + 58796041.

Almost surely, 2223021333222000 is an apocalyptic number.

223021333222000 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 223021333222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272849440080672).

223021333222000 is an abundant number, since it is smaller than the sum of its proper divisors (322677546939344).

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

223021333222000 is a wasteful number, since it uses less digits than its factorization.

223021333222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924444 (or 3924428 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 223021333222000 its reverse (222333120322), we get a palindrome (223243666342322).

The spelling of 223021333222000 in words is "two hundred twenty-three trillion, twenty-one billion, three hundred thirty-three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 181 200 250 314 362 400 500 628 724 785 905 1000 1256 1448 1570 1810 2000 2512 2896 3140 3620 3925 4525 6280 7240 7850 9050 12560 14480 15700 18100 19625 22625 28417 31400 36200 39250 45250 56834 62800 72400 78500 90500 113668 142085 157000 181000 227336 284170 314000 362000 454672 568340 710425 1136680 1420850 2273360 2841700 3552125 3924083 5683400 7104250 7848166 11366800 14208500 15696332 19620415 28417000 31392664 39240830 56834000 62785328 78481660 98102075 156963320 196204150 313926640 392408300 490510375 616081031 710259023 784816600 981020750 1232162062 1420518046 1569633200 1962041500 2464324124 2841036092 3080405155 3551295115 3924083000 4928648248 5682072184 6160810310 7102590230 7848166000 9857296496 11364144368 12321620620 14205180460 15402025775 17756475575 24643241240 28410360920 30804051550 35512951150 49286482480 56820721840 61608103100 71025902300 77010128875 88782377875 111510666611 123216206200 142051804600 154020257750 177564755750 223021333222 246432412400 284103609200 308040515500 355129511500 446042666444 557553333055 616081031000 710259023000 892085332888 1115106666110 1232162062000 1420518046000 1784170665776 2230213332220 2787766665275 4460426664440 5575533330550 8920853328880 11151066661100 13938833326375 22302133322200 27877666652750 44604266644400 55755333305500 111510666611000 223021333222000