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22501722128 = 2410145730469
BaseRepresentation
bin10100111101001101…
…010000100000010000
32011002011221220211212
4110331031100200100
5332040420102003
614200453555252
71424420324264
oct247515204020
964064856755
1022501722128
1195a76a9976
12443b945b28
132177a8aba2
1411366640a4
158ba6d6dd8
hex53d350810

22501722128 has 40 divisors (see below), whose sum is σ = 44126532120. Its totient is φ = 11114726400.

The previous prime is 22501722119. The next prime is 22501722157. The reversal of 22501722128 is 82122710522.

It can be written as a sum of positive squares in 4 ways, for example, as 13836346384 + 8665375744 = 117628^2 + 93088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22501722094 and 22501722103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723278 + ... + 753746.

It is an arithmetic number, because the mean of its divisors is an integer number (1103163303).

Almost surely, 222501722128 is an apocalyptic number.

It is an amenable number.

22501722128 is a deficient number, since it is larger than the sum of its proper divisors (21624809992).

22501722128 is a wasteful number, since it uses less digits than its factorization.

22501722128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31035 (or 31029 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 22501722128 in words is "twenty-two billion, five hundred one million, seven hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 101 202 404 457 808 914 1616 1828 3656 7312 30469 46157 60938 92314 121876 184628 243752 369256 487504 738512 3077369 6154738 12309476 13924333 24618952 27848666 49237904 55697332 111394664 222789328 1406357633 2812715266 5625430532 11250861064 22501722128