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220121620520 = 235232412573863
BaseRepresentation
bin1100110100000001000…
…1010110000000101000
3210001011122122220201212
43031000101112000220
512101302113324040
6245042242132252
721621550621454
oct3150021260050
9701148586655
10220121620520
1185397a0954a
12367b2351088
13179acc6a4c9
14a9225c5664
155ad4c15d65
hex3340456028

220121620520 has 128 divisors (see below), whose sum is σ = 521105840640. Its totient is φ = 83523010560.

The previous prime is 220121620513. The next prime is 220121620553. The reversal of 220121620520 is 25026121022.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 56980109 + ... + 56983971.

It is an arithmetic number, because the mean of its divisors is an integer number (4071139380).

Almost surely, 2220121620520 is an apocalyptic number.

220121620520 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 220121620520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260552920320).

220121620520 is an abundant number, since it is smaller than the sum of its proper divisors (300984220120).

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

220121620520 is a wasteful number, since it uses less digits than its factorization.

220121620520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 220121620520 its reverse (25026121022), we get a palindrome (245147741542).

The spelling of 220121620520 in words is "two hundred twenty billion, one hundred twenty-one million, six hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 241 257 460 482 514 920 964 1028 1205 1285 1928 2056 2410 2570 3863 4820 5140 5543 5911 7726 9640 10280 11086 11822 15452 19315 22172 23644 27715 29555 30904 38630 44344 47288 55430 59110 61937 77260 88849 110860 118220 123874 154520 177698 221720 236440 247748 309685 355396 444245 495496 619370 710792 888490 930983 992791 1238740 1424551 1776980 1861966 1985582 2477480 2849102 3553960 3723932 3971164 4654915 4963955 5698204 7122755 7447864 7942328 9309830 9927910 11396408 14245510 18619660 19855820 21412609 22834193 28491020 37239320 39711640 42825218 45668386 56982040 85650436 91336772 107063045 114170965 171300872 182673544 214126090 228341930 239262631 428252180 456683860 478525262 856504360 913367720 957050524 1196313155 1914101048 2392626310 4785252620 5503040513 9570505240 11006081026 22012162052 27515202565 44024324104 55030405130 110060810260 220121620520