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154150164 = 22327611707
BaseRepresentation
bin10010011000000…
…10010100010100
3101202001122021100
421030002110110
5303430301124
623143550100
73551153250
oct1114022424
9352048240
10154150164
117a017333
124375b330
1325c22c1c
1416689260
15d7ee1c9
hex9302514

154150164 has 36 divisors (see below), whose sum is σ = 445323424. Its totient is φ = 44042832.

The previous prime is 154150153. The next prime is 154150219. The reversal of 154150164 is 461051451.

154150164 is a `hidden beast` number, since 154 + 1 + 501 + 6 + 4 = 666.

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

It is a super-2 number, since 2×1541501642 = 47524546122453792, which contains 22 as substring.

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, 305602 + ... + 306105.

Almost surely, 2154150164 is an apocalyptic number.

154150164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

154150164 is an abundant number, since it is smaller than the sum of its proper divisors (291173260).

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

154150164 is a wasteful number, since it uses less digits than its factorization.

154150164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611724 (or 611719 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 154150164 is about 12415.7224517947. The cubic root of 154150164 is about 536.1850042666.

The spelling of 154150164 in words is "one hundred fifty-four million, one hundred fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 611707 1223414 1835121 2446828 3670242 4281949 5505363 7340484 8563898 11010726 12845847 17127796 22021452 25691694 38537541 51383388 77075082 154150164