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137022666 = 231131193347
BaseRepresentation
bin10000010101011…
…00110011001010
3100112211110202120
420022230303022
5240034211131
621332512110
73252446664
oct1012546312
9315743676
10137022666
1170389180
1239a7b636
1322507101
14142ab534
15c069496
hex82accca

137022666 has 64 divisors (see below), whose sum is σ = 311095296. Its totient is φ = 39859200.

The previous prime is 137022647. The next prime is 137022667. The reversal of 137022666 is 666220731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (137022667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394705 + ... + 395051.

It is an arithmetic number, because the mean of its divisors is an integer number (4860864).

Almost surely, 2137022666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137022666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155547648).

137022666 is an abundant number, since it is smaller than the sum of its proper divisors (174072630).

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

137022666 is a wasteful number, since it uses less digits than its factorization.

137022666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 137022666 is about 11705.6681142086. The cubic root of 137022666 is about 515.5421017437.

The spelling of 137022666 in words is "one hundred thirty-seven million, twenty-two thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 193 341 347 386 579 682 694 1023 1041 1158 2046 2082 2123 3817 4246 5983 6369 7634 10757 11451 11966 12738 17949 21514 22902 32271 35898 64542 65813 66971 118327 131626 133942 197439 200913 236654 354981 394878 401826 709962 736681 1473362 2076101 2210043 4152202 4420086 6228303 12456606 22837111 45674222 68511333 137022666