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23064192 = 273220021
BaseRepresentation
bin101011111111…
…0111010000000
31121101210010100
41113332322000
521401023232
62142202400
7400020354
oct127767200
947353110
1023064192
1112023518
127883400
134a17068
1430c5464
152058c7c
hex15fee80

23064192 has 48 divisors (see below), whose sum is σ = 66372930. Its totient is φ = 7687680.

The previous prime is 23064191. The next prime is 23064229. The reversal of 23064192 is 29146032.

It can be written as a sum of positive squares in only one way, i.e., 22810176 + 254016 = 4776^2 + 504^2 .

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

It is a super-2 number, since 2×230641922 = 1063913905225728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23064191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8859 + ... + 11162.

Almost surely, 223064192 is an apocalyptic number.

It is an amenable number.

23064192 is an abundant number, since it is smaller than the sum of its proper divisors (43308738).

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

23064192 is a wasteful number, since it uses less digits than its factorization.

23064192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20041 (or 20026 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23064192 is about 4802.5193388471. The cubic root of 23064192 is about 284.6510225345.

The spelling of 23064192 in words is "twenty-three million, sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 20021 40042 60063 80084 120126 160168 180189 240252 320336 360378 480504 640672 720756 961008 1281344 1441512 1922016 2562688 2883024 3844032 5766048 7688064 11532096 23064192