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23454864 = 2432162881
BaseRepresentation
bin101100101111…
…0010010010000
31122010122000200
41121132102100
522001023424
62154415200
7403235346
oct131362220
948118020
1023454864
111226aa94
127a31500
134b22b24
143187996
1520d48c9
hex165e490

23454864 has 30 divisors (see below), whose sum is σ = 65641446. Its totient is φ = 7818240.

The previous prime is 23454859. The next prime is 23454869. The reversal of 23454864 is 46845432.

It is an interprime number because it is at equal distance from previous prime (23454859) and next prime (23454869).

It can be written as a sum of positive squares in only one way, i.e., 22014864 + 1440000 = 4692^2 + 1200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23454869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81297 + ... + 81584.

Almost surely, 223454864 is an apocalyptic number.

23454864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23454864 is an abundant number, since it is smaller than the sum of its proper divisors (42186582).

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

23454864 is a wasteful number, since it uses less digits than its factorization.

23454864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162895 (or 162886 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 23454864 is about 4843.0221969345. The cubic root of 23454864 is about 286.2492163235.

The spelling of 23454864 in words is "twenty-three million, four hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 162881 325762 488643 651524 977286 1303048 1465929 1954572 2606096 2931858 3909144 5863716 7818288 11727432 23454864