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23256114 = 23719151193
BaseRepresentation
bin101100010110…
…1110000110010
31121202112101120
41120231300302
521423143424
62150243110
7401450040
oct130556062
947675346
1023256114
1112144732
127956496
134a8351b
143135390
152095a79
hex162dc32

23256114 has 64 divisors (see below), whose sum is σ = 56616960. Its totient is φ = 6220800.

The previous prime is 23256109. The next prime is 23256127. The reversal of 23256114 is 41165232.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120402 + ... + 120594.

It is an arithmetic number, because the mean of its divisors is an integer number (884640).

Almost surely, 223256114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23256114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28308480).

23256114 is an abundant number, since it is smaller than the sum of its proper divisors (33360846).

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

23256114 is a wasteful number, since it uses less digits than its factorization.

23256114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375.

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

The square root of 23256114 is about 4822.4593310882. The cubic root of 23256114 is about 285.4383896467.

The spelling of 23256114 in words is "twenty-three million, two hundred fifty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 151 193 266 302 386 399 453 579 798 906 1057 1158 1351 2114 2702 2869 3171 3667 4053 5738 6342 7334 8106 8607 11001 17214 20083 22002 25669 29143 40166 51338 58286 60249 77007 87429 120498 154014 174858 204001 408002 553717 612003 1107434 1224006 1661151 3322302 3876019 7752038 11628057 23256114