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166422132 = 22326736869
BaseRepresentation
bin10011110101101…
…10011001110100
3102121011010020200
421322312121310
5320101002012
624303000500
74060364502
oct1172663164
9377133220
10166422132
1185a39458
1247899130
132862b946
1418161672
15e9253dc
hex9eb6674

166422132 has 36 divisors (see below), whose sum is σ = 421364580. Its totient is φ = 55383552.

The previous prime is 166422127. The next prime is 166422143. The reversal of 166422132 is 231224661.

166422132 is a `hidden beast` number, since 1 + 6 + 642 + 2 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21123216 + 145298916 = 4596^2 + 12054^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 166422096 and 166422105.

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, 20794 + ... + 27662.

Almost surely, 2166422132 is an apocalyptic number.

166422132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166422132 is an abundant number, since it is smaller than the sum of its proper divisors (254942448).

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

166422132 is a wasteful number, since it uses less digits than its factorization.

166422132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7552 (or 7547 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 166422132 is about 12900.4702239880. The cubic root of 166422132 is about 550.0519311846.

Adding to 166422132 its reverse (231224661), we get a palindrome (397646793).

The spelling of 166422132 in words is "one hundred sixty-six million, four hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 673 1346 2019 2692 4038 6057 6869 8076 12114 13738 20607 24228 27476 41214 61821 82428 123642 247284 4622837 9245674 13868511 18491348 27737022 41605533 55474044 83211066 166422132