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23151264 = 253349691
BaseRepresentation
bin101100001010…
…0001010100000
31121120012120020
41120110022200
521411320024
62144113440
7400532253
oct130241240
947505506
1023151264
1112082984
127905880
134a47896
14310909a
152074979
hex16142a0

23151264 has 48 divisors (see below), whose sum is σ = 61034400. Its totient is φ = 7683840.

The previous prime is 23151257. The next prime is 23151277. The reversal of 23151264 is 46215132.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 33159 + ... + 33849.

It is an arithmetic number, because the mean of its divisors is an integer number (1271550).

Almost surely, 223151264 is an apocalyptic number.

23151264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23151264 is an abundant number, since it is smaller than the sum of its proper divisors (37883136).

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

23151264 is a wasteful number, since it uses less digits than its factorization.

23151264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 23151264 is about 4811.5760411740. The cubic root of 23151264 is about 285.0087778152.

Adding to 23151264 its reverse (46215132), we get a palindrome (69366396).

The spelling of 23151264 in words is "twenty-three million, one hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 349 691 698 1047 1382 1396 2073 2094 2764 2792 4146 4188 5528 5584 8292 8376 11056 11168 16584 16752 22112 33168 33504 66336 241159 482318 723477 964636 1446954 1929272 2893908 3858544 5787816 7717088 11575632 23151264