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23224960 = 275113299
BaseRepresentation
bin101100010011…
…0001010000000
31121200221122201
41120212022000
521421144320
62145442544
7401260153
oct130461200
947627581
1023224960
1112123290
127940454
134a722a5
143127c9a
15208b70a
hex1626280

23224960 has 64 divisors (see below), whose sum is σ = 60588000. Its totient is φ = 8442880.

The previous prime is 23224933. The next prime is 23224979. The reversal of 23224960 is 6942232.

It is a tau number, because it is divible by the number of its divisors (64).

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, 5391 + ... + 8689.

Almost surely, 223224960 is an apocalyptic number.

23224960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30294000).

23224960 is an abundant number, since it is smaller than the sum of its proper divisors (37363040).

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

23224960 is a wasteful number, since it uses less digits than its factorization.

23224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 23224960 is about 4819.2281539682. The cubic root of 23224960 is about 285.3108744854.

The spelling of 23224960 in words is "twenty-three million, two hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3299 3520 6598 7040 13196 16495 26392 32990 36289 52784 65980 72578 105568 131960 145156 181445 211136 263920 290312 362890 422272 527840 580624 725780 1055680 1161248 1451560 2111360 2322496 2903120 4644992 5806240 11612480 23224960