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22864828480 = 265135496353
BaseRepresentation
bin10101010010110110…
…011001100001000000
32012000111012122010021
4111102312121201000
5333311344002410
614300504343224
71436416556344
oct252266314100
965014178107
1022864828480
11977366606a
124521474b14
132205082810
14116c983624
158dc50deda
hex552d99840

22864828480 has 56 divisors (see below), whose sum is σ = 58635104472. Its totient is φ = 8442396672.

The previous prime is 22864828477. The next prime is 22864828523. The reversal of 22864828480 is 8482846822.

It can be written as a sum of positive squares in 4 ways, for example, as 1382649856 + 21482178624 = 37184^2 + 146568^2 .

It is a super-2 number, since 2×228648284802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2744017 + ... + 2752336.

It is an arithmetic number, because the mean of its divisors is an integer number (1047055437).

Almost surely, 222864828480 is an apocalyptic number.

22864828480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22864828480 is an abundant number, since it is smaller than the sum of its proper divisors (35770275992).

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

22864828480 is a wasteful number, since it uses less digits than its factorization.

22864828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496383 (or 5496373 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 52.

The spelling of 22864828480 in words is "twenty-two billion, eight hundred sixty-four million, eight hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 5496353 10992706 21985412 27481765 43970824 54963530 71452589 87941648 109927060 142905178 175883296 219854120 285810356 351766592 357262945 439708240 571620712 714525890 879416480 1143241424 1429051780 1758832960 2286482848 2858103560 4572965696 5716207120 11432414240 22864828480