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165055212 = 223371092003
BaseRepresentation
bin10011101011010…
…00101011101100
3102111120200012000
421311220223230
5314223231322
624213412300
74042642350
oct1165505354
9374520160
10165055212
1185195473
124733a090
132827070a
1417cc7460
15e7553ac
hex9d68aec

165055212 has 96 divisors (see below), whose sum is σ = 493785600. Its totient is φ = 46702656.

The previous prime is 165055183. The next prime is 165055213. The reversal of 165055212 is 212550561.

165055212 is a `hidden beast` number, since 1 + 650 + 5 + 5 + 2 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (165055213) 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, 81403 + ... + 83405.

It is an arithmetic number, because the mean of its divisors is an integer number (5143600).

Almost surely, 2165055212 is an apocalyptic number.

165055212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165055212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246892800).

165055212 is an abundant number, since it is smaller than the sum of its proper divisors (328730388).

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

165055212 is a wasteful number, since it uses less digits than its factorization.

165055212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 165055212 is about 12847.3815230964. The cubic root of 165055212 is about 548.5418256207.

The spelling of 165055212 in words is "one hundred sixty-five million, fifty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 109 126 189 218 252 327 378 436 654 756 763 981 1308 1526 1962 2003 2289 2943 3052 3924 4006 4578 5886 6009 6867 8012 9156 11772 12018 13734 14021 18027 20601 24036 27468 28042 36054 41202 42063 54081 56084 72108 82404 84126 108162 126189 168252 216324 218327 252378 378567 436654 504756 654981 757134 873308 1309962 1514268 1528289 1964943 2619924 3056578 3929886 4584867 5894829 6113156 7859772 9169734 11789658 13754601 18339468 23579316 27509202 41263803 55018404 82527606 165055212