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164218096 = 2471786249
BaseRepresentation
bin10011100100111…
…00010011110000
3102110000010212201
421302130103300
5314014434341
624143432544
74032554650
oct1162342360
9373003781
10164218096
1184773539
1246bb5754
1328039693
1417b4a360
15e63c331
hex9c9c4f0

164218096 has 40 divisors (see below), whose sum is σ = 385020000. Its totient is φ = 66238464.

The previous prime is 164218081. The next prime is 164218157. The reversal of 164218096 is 690812461.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 41221 + ... + 45028.

It is an arithmetic number, because the mean of its divisors is an integer number (9625500).

Almost surely, 2164218096 is an apocalyptic number.

164218096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164218096 is an abundant number, since it is smaller than the sum of its proper divisors (220801904).

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

164218096 is a wasteful number, since it uses less digits than its factorization.

164218096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86281 (or 86275 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 164218096 is about 12814.7608639412. The cubic root of 164218096 is about 547.6129008289.

The spelling of 164218096 in words is "one hundred sixty-four million, two hundred eighteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 86249 172498 344996 603743 689992 1207486 1379984 1466233 2414972 2932466 4829944 5864932 9659888 10263631 11729864 20527262 23459728 41054524 82109048 164218096