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22104611304 = 23329431494957
BaseRepresentation
bin10100100101100010…
…011001100111101000
32010001111201121012120
4110211202121213220
5330232240030204
614053230311240
71411526044626
oct244542314750
963044647176
1022104611304
119413527706
12434a958520
13211371b679
1410d9a12516
158958e46d9
hex5258999e8

22104611304 has 128 divisors (see below), whose sum is σ = 58901040000. Its totient is φ = 6900655104.

The previous prime is 22104611303. The next prime is 22104611363. The reversal of 22104611304 is 40311640122.

It is a super-2 number, since 2×221046113042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22104611303) 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, 4456794 + ... + 4461750.

It is an arithmetic number, because the mean of its divisors is an integer number (460164375).

Almost surely, 222104611304 is an apocalyptic number.

22104611304 is a gapful number since it is divisible by the number (24) 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 22104611304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29450520000).

22104611304 is an abundant number, since it is smaller than the sum of its proper divisors (36796428696).

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

22104611304 is a wasteful number, since it uses less digits than its factorization.

22104611304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 22104611304 in words is "twenty-two billion, one hundred four million, six hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 149 172 174 232 258 298 344 348 447 516 596 696 894 1032 1192 1247 1788 2494 3576 3741 4321 4957 4988 6407 7482 8642 9914 9976 12814 12963 14871 14964 17284 19221 19828 25628 25926 29742 29928 34568 38442 39656 51256 51852 59484 76884 103704 118968 143753 153768 185803 213151 287506 371606 426302 431259 557409 575012 639453 738593 743212 852604 862518 1114818 1150024 1278906 1477186 1486424 1705208 1725036 2215779 2229636 2557812 2954372 3450072 4431558 4459272 5115624 5908744 6181379 8863116 12362758 17726232 18544137 21419197 24725516 31759499 37088274 42838394 49451032 63518998 64257591 74176548 85676788 95278497 127037996 128515182 148353096 171353576 190556994 254075992 257030364 381113988 514060728 762227976 921025471 1842050942 2763076413 3684101884 5526152826 7368203768 11052305652 22104611304