Search a number
-
+
164831220 = 22335305243
BaseRepresentation
bin10011101001100…
…01111111110100
3102111011021221000
421310301333310
5314144044340
624204523300
74041020331
oct1164617764
9374137830
10164831220
1185052154
1247250530
13281c2788
1417c69988
15e70dd30
hex9d31ff4

164831220 has 48 divisors (see below), whose sum is σ = 512809920. Its totient is φ = 43954848.

The previous prime is 164831207. The next prime is 164831231. The reversal of 164831220 is 22138461.

164831220 is a `hidden beast` number, since 1 + 648 + 3 + 12 + 2 + 0 = 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152082 + ... + 153161.

It is an arithmetic number, because the mean of its divisors is an integer number (10683540).

Almost surely, 2164831220 is an apocalyptic number.

164831220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164831220 is an abundant number, since it is smaller than the sum of its proper divisors (347978700).

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

164831220 is a wasteful number, since it uses less digits than its factorization.

164831220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305261 (or 305253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164831220 is about 12838.6611451506. The cubic root of 164831220 is about 548.2935761576.

Adding to 164831220 its reverse (22138461), we get a palindrome (186969681).

The spelling of 164831220 in words is "one hundred sixty-four million, eight hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 305243 610486 915729 1220972 1526215 1831458 2747187 3052430 3662916 4578645 5494374 6104860 8241561 9157290 10988748 13735935 16483122 18314580 27471870 32966244 41207805 54943740 82415610 164831220