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164326900 = 22521643269
BaseRepresentation
bin10011100101101…
…10110111110100
3102110012200010111
421302312313310
5314031430100
624150032404
74033520113
oct1162666764
9373180114
10164326900
1184838261
1247048704
132807706a
1417b77c7a
15e65e6ba
hex9cb6df4

164326900 has 18 divisors (see below), whose sum is σ = 356589590. Its totient is φ = 65730720.

The previous prime is 164326891. The next prime is 164326901. The reversal of 164326900 is 9623461.

It can be written as a sum of positive squares in 3 ways, for example, as 33315984 + 131010916 = 5772^2 + 11446^2 .

It is a super-2 number, since 2×1643269002 = 54006660127220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164326901) 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 5 ways as a sum of consecutive naturals, for example, 821535 + ... + 821734.

Almost surely, 2164326900 is an apocalyptic number.

164326900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164326900 is an abundant number, since it is smaller than the sum of its proper divisors (192262690).

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

164326900 is a wasteful number, since it uses less digits than its factorization.

164326900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643283 (or 1643276 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 164326900 is about 12819.0054216386. The cubic root of 164326900 is about 547.7338158831.

It can be divided in two parts, 16432 and 6900, that added together give a palindrome (23332).

The spelling of 164326900 in words is "one hundred sixty-four million, three hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1643269 3286538 6573076 8216345 16432690 32865380 41081725 82163450 164326900