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22525728 = 253415997
BaseRepresentation
bin101010111101…
…1011100100000
31120101102111020
41111323130200
521231310403
62122445440
7362315451
oct125733440
946342436
1022525728
1111795a05
127663880
134888c44
142dc5128
151e9e453
hex157b720

22525728 has 96 divisors (see below), whose sum is σ = 62233920. Its totient is φ = 7127040.

The previous prime is 22525709. The next prime is 22525729. The reversal of 22525728 is 82752522.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22525729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 232176 + ... + 232272.

It is an arithmetic number, because the mean of its divisors is an integer number (648270).

Almost surely, 222525728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22525728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31116960).

22525728 is an abundant number, since it is smaller than the sum of its proper divisors (39708192).

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

22525728 is a wasteful number, since it uses less digits than its factorization.

22525728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its digits is 22400, while the sum is 33.

The square root of 22525728 is about 4746.1276847552. The cubic root of 22525728 is about 282.4183720095.

The spelling of 22525728 in words is "twenty-two million, five hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 59 82 96 97 118 123 164 177 194 236 246 291 328 354 388 472 492 582 656 708 776 944 984 1164 1312 1416 1552 1888 1968 2328 2419 2832 3104 3936 3977 4656 4838 5664 5723 7257 7954 9312 9676 11446 11931 14514 15908 17169 19352 22892 23862 29028 31816 34338 38704 45784 47724 58056 63632 68676 77408 91568 95448 116112 127264 137352 183136 190896 232224 234643 274704 381792 469286 549408 703929 938572 1407858 1877144 2815716 3754288 5631432 7508576 11262864 22525728