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23261966 = 2721319312
BaseRepresentation
bin101100010111…
…1001100001110
31121202211102022
41120233030032
521423340331
62150330142
7401503100
oct130571416
947684368
1023261966
1112149072
127959952
134a860a0
143137570
15209767b
hex162f30e

23261966 has 72 divisors (see below), whose sum is σ = 47544840. Its totient is φ = 8436960.

The previous prime is 23261963. The next prime is 23261971. The reversal of 23261966 is 66916232.

It is a super-2 number, since 2×232619662 = 1082238124370312, which contains 22 as substring.

Its product of digits (23328) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23261963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 750371 + ... + 750401.

It is an arithmetic number, because the mean of its divisors is an integer number (660345).

Almost surely, 223261966 is an apocalyptic number.

23261966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

23261966 is an abundant number, since it is smaller than the sum of its proper divisors (24282874).

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

23261966 is a wasteful number, since it uses less digits than its factorization.

23261966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its digits is 23328, while the sum is 35.

The square root of 23261966 is about 4823.0660372838. The cubic root of 23261966 is about 285.4623295214.

The spelling of 23261966 in words is "twenty-three million, two hundred sixty-one thousand, nine hundred sixty-six".

Divisors: 1 2 7 13 14 19 26 31 38 49 62 91 98 133 182 217 247 266 403 434 494 589 637 806 931 961 1178 1274 1519 1729 1862 1922 2821 3038 3458 4123 5642 6727 7657 8246 12103 12493 13454 15314 18259 19747 24206 24986 28861 36518 39494 47089 53599 57722 87451 94178 107198 127813 174902 237367 255626 375193 474734 612157 750386 894691 1224314 1661569 1789382 3323138 11630983 23261966