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166205052 = 223213355139
BaseRepresentation
bin10011110100000…
…01011001111100
3102120202002110200
421322001121330
5320022030202
624254203500
74055501556
oct1172013174
9376662420
10166205052
1185900352
12477b3590
1328583bb0
14181064d6
15e8d0e1c
hex9e8167c

166205052 has 36 divisors (see below), whose sum is σ = 452448360. Its totient is φ = 51139872.

The previous prime is 166205047. The next prime is 166205063. The reversal of 166205052 is 250502661.

166205052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177102 + ... + 178037.

It is an arithmetic number, because the mean of its divisors is an integer number (12568010).

Almost surely, 2166205052 is an apocalyptic number.

166205052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166205052 is an abundant number, since it is smaller than the sum of its proper divisors (286243308).

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

166205052 is a wasteful number, since it uses less digits than its factorization.

166205052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355162 (or 355157 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 166205052 is about 12892.0538317213. The cubic root of 166205052 is about 549.8126656763.

The spelling of 166205052 in words is "one hundred sixty-six million, two hundred five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 355139 710278 1065417 1420556 2130834 3196251 4261668 4616807 6392502 9233614 12785004 13850421 18467228 27700842 41551263 55401684 83102526 166205052