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164622820 = 2258299929
BaseRepresentation
bin10011100111111…
…11000111100100
3102110202201001111
421303333013210
5314120412240
624200234404
74036161625
oct1163770744
9373681044
10164622820
1184a1a61a
124716ba04
132814b96b
1417c13a4c
15e6bc1ea
hex9cff1e4

164622820 has 24 divisors (see below), whose sum is σ = 346159800. Its totient is φ = 65763072.

The previous prime is 164622769. The next prime is 164622827. The reversal of 164622820 is 28226461.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 157904356 = 2592^2 + 12566^2 .

It is not an unprimeable number, because it can be changed into a prime (164622827) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11616 + ... + 21544.

It is an arithmetic number, because the mean of its divisors is an integer number (14423325).

Almost surely, 2164622820 is an apocalyptic number.

164622820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164622820 is an abundant number, since it is smaller than the sum of its proper divisors (181536980).

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

164622820 is a wasteful number, since it uses less digits than its factorization.

164622820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10767 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 164622820 is about 12830.5424670978. The cubic root of 164622820 is about 548.0624052042.

The spelling of 164622820 in words is "one hundred sixty-four million, six hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 829 1658 3316 4145 8290 9929 16580 19858 39716 49645 99290 198580 8231141 16462282 32924564 41155705 82311410 164622820