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164727220 = 22572168089
BaseRepresentation
bin10011101000110…
…00100110110100
3102110222000021011
421310120212310
5314132232340
624202402004
74040105200
oct1164304664
9373860234
10164727220
1184a90aa9
1247200304
1328187338
1417c3db00
15e6dd0ea
hex9d189b4

164727220 has 36 divisors (see below), whose sum is σ = 402407460. Its totient is φ = 56477568.

The previous prime is 164727203. The next prime is 164727239. The reversal of 164727220 is 22727461.

It can be written as a sum of positive squares in 2 ways, for example, as 27415696 + 137311524 = 5236^2 + 11718^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83065 + ... + 85024.

It is an arithmetic number, because the mean of its divisors is an integer number (11177985).

Almost surely, 2164727220 is an apocalyptic number.

164727220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164727220 is an abundant number, since it is smaller than the sum of its proper divisors (237680240).

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

164727220 is a wasteful number, since it uses less digits than its factorization.

164727220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168112 (or 168103 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 164727220 is about 12834.6102395047. The cubic root of 164727220 is about 548.1782369056.

The spelling of 164727220 in words is "one hundred sixty-four million, seven hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 168089 336178 672356 840445 1176623 1680890 2353246 3361780 4706492 5883115 8236361 11766230 16472722 23532460 32945444 41181805 82363610 164727220