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164424900 = 22352548083
BaseRepresentation
bin10011100110011…
…10110011000100
3102110101122120010
421303032303010
5314043044100
624152110220
74034405613
oct1163166304
9373348503
10164424900
11848a4952
1247095370
13280ac853
1417ba187a
15e67d750
hex9ccecc4

164424900 has 36 divisors (see below), whose sum is σ = 475736912. Its totient is φ = 43846560.

The previous prime is 164424889. The next prime is 164424913. The reversal of 164424900 is 9424461.

164424900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1644249003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273742 + ... + 274341.

Almost surely, 2164424900 is an apocalyptic number.

164424900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164424900 is an abundant number, since it is smaller than the sum of its proper divisors (311312012).

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

164424900 is a wasteful number, since it uses less digits than its factorization.

164424900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548100 (or 548093 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 164424900 is about 12822.8273013404. The cubic root of 164424900 is about 547.8426786577.

The spelling of 164424900 in words is "one hundred sixty-four million, four hundred twenty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 548083 1096166 1644249 2192332 2740415 3288498 5480830 6576996 8221245 10961660 13702075 16442490 27404150 32884980 41106225 54808300 82212450 164424900