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22985952 = 2531121767
BaseRepresentation
bin101011110101…
…1110011100000
31121020210210120
41113223303200
521341022302
62140400240
7366243303
oct127536340
947223716
1022985952
1111a7a760
127846080
1349ba572
1430a4b3a
1520409bc
hex15ebce0

22985952 has 48 divisors (see below), whose sum is σ = 65826432. Its totient is φ = 6965120.

The previous prime is 22985933. The next prime is 22985957. The reversal of 22985952 is 25958922.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22985957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9828 + ... + 11939.

It is an arithmetic number, because the mean of its divisors is an integer number (1371384).

Almost surely, 222985952 is an apocalyptic number.

22985952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22985952 is an abundant number, since it is smaller than the sum of its proper divisors (42840480).

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

22985952 is a wasteful number, since it uses less digits than its factorization.

22985952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21791 (or 21783 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 22985952 is about 4794.3666943612. The cubic root of 22985952 is about 284.3287867101.

The spelling of 22985952 in words is "twenty-two million, nine hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 21767 43534 65301 87068 130602 174136 239437 261204 348272 478874 522408 696544 718311 957748 1044816 1436622 1915496 2089632 2873244 3830992 5746488 7661984 11492976 22985952