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166992102 = 23219231829
BaseRepresentation
bin10011111010000…
…01100011100110
3102122020002002200
421331001203212
5320222221402
624323115330
74065260304
oct1175014346
9378202080
10166992102
1186298702
1247b12b46
132879b1c4
141826d274
15e9d921c
hex9f418e6

166992102 has 72 divisors (see below), whose sum is σ = 394655040. Its totient is φ = 50971680.

The previous prime is 166992053. The next prime is 166992103. The reversal of 166992102 is 201299661.

166992102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166992103) 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, 201024 + ... + 201852.

It is an arithmetic number, because the mean of its divisors is an integer number (5481320).

Almost surely, 2166992102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166992102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197327520).

166992102 is an abundant number, since it is smaller than the sum of its proper divisors (227662938).

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

166992102 is a wasteful number, since it uses less digits than its factorization.

166992102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 166992102 is about 12922.5423969125. The cubic root of 166992102 is about 550.6791631993.

The spelling of 166992102 in words is "one hundred sixty-six million, nine hundred ninety-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 361 558 589 722 829 1083 1178 1658 1767 2166 2487 3249 3534 4974 5301 6498 7461 10602 11191 14922 15751 22382 25699 31502 33573 47253 51398 67146 77097 94506 100719 141759 154194 201438 231291 283518 299269 462582 488281 598538 897807 976562 1464843 1795614 2693421 2929686 4394529 5386842 8789058 9277339 18554678 27832017 55664034 83496051 166992102