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23002464 = 2531912611
BaseRepresentation
bin101011110111…
…1110101100000
31121021122110010
41113233311200
521342034324
62141004520
7366342402
oct127576540
947248403
1023002464
1111a91101
127853740
1349c4c34
1430aab72
152045829
hex15efd60

23002464 has 48 divisors (see below), whose sum is σ = 63564480. Its totient is φ = 7263360.

The previous prime is 23002457. The next prime is 23002487. The reversal of 23002464 is 46420032.

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

It is a super-2 number, since 2×230024642 = 1058226700142592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23002464.

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, 4482 + ... + 8129.

It is an arithmetic number, because the mean of its divisors is an integer number (1324260).

Almost surely, 223002464 is an apocalyptic number.

23002464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23002464 is an abundant number, since it is smaller than the sum of its proper divisors (40562016).

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

23002464 is a wasteful number, since it uses less digits than its factorization.

23002464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12643 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 23002464 is about 4796.0884061910. The cubic root of 23002464 is about 284.3968531127.

Adding to 23002464 its reverse (46420032), we get a palindrome (69422496).

The spelling of 23002464 in words is "twenty-three million, two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 12611 25222 37833 50444 75666 100888 151332 201776 239609 302664 403552 479218 605328 718827 958436 1210656 1437654 1916872 2875308 3833744 5750616 7667488 11501232 23002464