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22964640 = 253547843
BaseRepresentation
bin101011110011…
…0100110100000
31121012201120020
41113212212200
521334332030
62140113440
7366124206
oct127464640
947181506
1022964640
1111a65746
127835880
1349b095a
14309b076
152039510
hex15e69a0

22964640 has 48 divisors (see below), whose sum is σ = 72340128. Its totient is φ = 6123776.

The previous prime is 22964639. The next prime is 22964657. The reversal of 22964640 is 4646922.

It is a happy number.

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

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, 23442 + ... + 24401.

It is an arithmetic number, because the mean of its divisors is an integer number (1507086).

Almost surely, 222964640 is an apocalyptic number.

22964640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22964640 is an abundant number, since it is smaller than the sum of its proper divisors (49375488).

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

22964640 is a wasteful number, since it uses less digits than its factorization.

22964640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47861 (or 47853 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 22964640 is about 4792.1435704703. The cubic root of 22964640 is about 284.2408853571.

The spelling of 22964640 in words is "twenty-two million, nine hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 47843 95686 143529 191372 239215 287058 382744 478430 574116 717645 765488 956860 1148232 1435290 1530976 1913720 2296464 2870580 3827440 4592928 5741160 7654880 11482320 22964640