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137222096 = 24111745863
BaseRepresentation
bin10000010110111…
…01011111010000
3100120012121022212
420023131133100
5240112101341
621341051252
73254240264
oct1013353720
9316177285
10137222096
1170504aa0
1239b56b28
1322576b0b
14143200a4
15c0a85eb
hex82dd7d0

137222096 has 40 divisors (see below), whose sum is σ = 307105344. Its totient is φ = 58703360.

The previous prime is 137222087. The next prime is 137222101. The reversal of 137222096 is 690222731.

It is a happy number.

137222096 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19940 + ... + 25923.

Almost surely, 2137222096 is an apocalyptic number.

137222096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137222096 is an abundant number, since it is smaller than the sum of its proper divisors (169883248).

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

137222096 is a wasteful number, since it uses less digits than its factorization.

137222096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45899 (or 45893 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 137222096 is about 11714.1835396241. The cubic root of 137222096 is about 515.7920962010.

The spelling of 137222096 in words is "one hundred thirty-seven million, two hundred twenty-two thousand, ninety-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 45863 91726 183452 366904 504493 733808 779671 1008986 1559342 2017972 3118684 4035944 6237368 8071888 8576381 12474736 17152762 34305524 68611048 137222096