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23006464 = 281331223
BaseRepresentation
bin101011111000…
…0110100000000
31121021211221021
41113300310000
521342201324
62141035224
7366360145
oct127606400
947254837
1023006464
1111a94108
127855b14
1349c69c0
1430ac3cc
152046ae4
hex15f0d00

23006464 has 72 divisors (see below), whose sum is σ = 51279872. Its totient is φ = 10229760.

The previous prime is 23006449. The next prime is 23006471. The reversal of 23006464 is 46460032.

It is a congruent number.

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, 103057 + ... + 103279.

Almost surely, 223006464 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 23006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25639936).

23006464 is an abundant number, since it is smaller than the sum of its proper divisors (28273408).

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

23006464 is a wasteful number, since it uses less digits than its factorization.

23006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 23006464 is about 4796.5053945555. The cubic root of 23006464 is about 284.4133371653.

Adding to 23006464 its reverse (46460032), we get a palindrome (69466496).

The spelling of 23006464 in words is "twenty-three million, six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 223 248 256 403 416 446 496 806 832 892 992 1612 1664 1784 1984 2899 3224 3328 3568 3968 5798 6448 6913 7136 7936 11596 12896 13826 14272 23192 25792 27652 28544 46384 51584 55304 57088 89869 92768 103168 110608 179738 185536 221216 359476 371072 442432 718952 742144 884864 1437904 1769728 2875808 5751616 11503232 23006464