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166205923 = 1321724183
BaseRepresentation
bin10011110100000…
…01100111100011
3102120202010122221
421322001213203
5320022042143
624254211511
74055504242
oct1172014743
9376663587
10166205923
1185900a74
12477b3b97
1328584400
1418106959
15e8d12ed
hex9e819e3

166205923 has 36 divisors (see below), whose sum is σ = 198206568. Its totient is φ = 139176960.

The previous prime is 166205917. The next prime is 166205947. The reversal of 166205923 is 329502661.

166205923 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166205923 - 29 = 166205411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166205983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2002440 + ... + 2002522.

It is an arithmetic number, because the mean of its divisors is an integer number (5505738).

Almost surely, 2166205923 is an apocalyptic number.

166205923 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

166205923 is a deficient number, since it is larger than the sum of its proper divisors (32000645).

166205923 is a wasteful number, since it uses less digits than its factorization.

166205923 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 166205923 is about 12892.0876121752. The cubic root of 166205923 is about 549.8136261084.

The spelling of 166205923 in words is "one hundred sixty-six million, two hundred five thousand, nine hundred twenty-three".

Divisors: 1 13 17 41 83 169 221 289 533 697 1079 1411 2873 3403 3757 6929 9061 11849 14027 18343 23987 44239 48841 57851 117793 154037 238459 311831 575107 752063 983467 2002481 4053803 9776819 12785071 166205923