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132674022 = 23213797177
BaseRepresentation
bin1111110100001…
…11000111100110
3100020122112112200
413322013013212
5232431032042
621055355330
73200465505
oct772070746
9306575480
10132674022
1168988a58
1238522b46
1321643950
141389883c
15b9aac4c
hex7e871e6

132674022 has 48 divisors (see below), whose sum is σ = 313535040. Its totient is φ = 40300416.

The previous prime is 132674011. The next prime is 132674027. The reversal of 132674022 is 220476231.

132674022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1326740222 = 35204792227312968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132674027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14898 + ... + 22074.

It is an arithmetic number, because the mean of its divisors is an integer number (6531980).

Almost surely, 2132674022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132674022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156767520).

132674022 is an abundant number, since it is smaller than the sum of its proper divisors (180861018).

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

132674022 is a wasteful number, since it uses less digits than its factorization.

132674022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7277 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 132674022 is about 11518.4209855344. The cubic root of 132674022 is about 510.0295023302.

The spelling of 132674022 in words is "one hundred thirty-two million, six hundred seventy-four thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 2054 3081 6162 7177 9243 14354 18486 21531 43062 64593 93301 129186 186602 279903 559806 566983 839709 1133966 1679418 1700949 3401898 5102847 7370779 10205694 14741558 22112337 44224674 66337011 132674022