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23223936 = 273197307
BaseRepresentation
bin101100010010…
…1111010000000
31121200220020210
41120211322000
521421131221
62145434120
7401254161
oct130457200
947626223
1023223936
111212253a
12793b940
134a71998
143127768
15208b276
hex1625e80

23223936 has 64 divisors (see below), whose sum is σ = 62203680. Its totient is φ = 7676928.

The previous prime is 23223923. The next prime is 23223961. The reversal of 23223936 is 63932232.

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, 75495 + ... + 75801.

Almost surely, 223223936 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 23223936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31101840).

23223936 is an abundant number, since it is smaller than the sum of its proper divisors (38979744).

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

23223936 is a wasteful number, since it uses less digits than its factorization.

23223936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 23223936 is about 4819.1219117179. The cubic root of 23223936 is about 285.3066812578.

The spelling of 23223936 in words is "twenty-three million, two hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 307 384 394 591 614 788 921 1182 1228 1576 1842 2364 2456 3152 3684 4728 4912 6304 7368 9456 9824 12608 14736 18912 19648 25216 29472 37824 39296 58944 60479 75648 117888 120958 181437 241916 362874 483832 725748 967664 1451496 1935328 2902992 3870656 5805984 7741312 11611968 23223936