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150165216 = 25321730671
BaseRepresentation
bin10001111001101…
…01011011100000
3101110120011221200
420330311123200
5301420241331
622522321200
73502245315
oct1074653340
9343504850
10150165216
1177845393
1242359200
1325159176
1415d2cd0c
15d2b35e6
hex8f356e0

150165216 has 72 divisors (see below), whose sum is σ = 452166624. Its totient is φ = 47109120.

The previous prime is 150165187. The next prime is 150165221. The reversal of 150165216 is 612561051.

It is a happy number.

150165216 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 652 + 1 + 6 = 666.

150165216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 150165216.

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, 10440 + ... + 20231.

It is an arithmetic number, because the mean of its divisors is an integer number (6280092).

Almost surely, 2150165216 is an apocalyptic number.

150165216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150165216 is an abundant number, since it is smaller than the sum of its proper divisors (302001408).

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

150165216 is a wasteful number, since it uses less digits than its factorization.

150165216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30704 (or 30693 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 150165216 is about 12254.1917726140. The cubic root of 150165216 is about 531.5242887894.

The spelling of 150165216 in words is "one hundred fifty million, one hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 30671 61342 92013 122684 184026 245368 276039 368052 490736 521407 552078 736104 981472 1042814 1104156 1472208 1564221 2085628 2208312 2944416 3128442 4171256 4416624 4692663 6256884 8342512 8833248 9385326 12513768 16685024 18770652 25027536 37541304 50055072 75082608 150165216