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164050332 = 223192943577
BaseRepresentation
bin10011100011100…
…11010110011100
3102102200121202020
421301303112130
5313444102312
624140100140
74031255565
oct1161632634
9372617666
10164050332
1184669496
1246b34650
1327cab204
1417b0516c
15e60778c
hex9c7359c

164050332 has 96 divisors (see below), whose sum is σ = 427257600. Its totient is φ = 48771072.

The previous prime is 164050321. The next prime is 164050363. The reversal of 164050332 is 233050461.

It is a happy number.

It is a super-2 number, since 2×1640503322 = 53825022858620448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284028 + ... + 284604.

It is an arithmetic number, because the mean of its divisors is an integer number (4450600).

Almost surely, 2164050332 is an apocalyptic number.

164050332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164050332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213628800).

164050332 is an abundant number, since it is smaller than the sum of its proper divisors (263207268).

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

164050332 is a wasteful number, since it uses less digits than its factorization.

164050332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 164050332 is about 12808.2134585585. The cubic root of 164050332 is about 547.4263581859.

The spelling of 164050332 in words is "one hundred sixty-four million, fifty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 43 57 58 76 86 87 114 116 129 172 174 228 258 348 516 551 577 817 1102 1154 1247 1634 1653 1731 2204 2308 2451 2494 3268 3306 3462 3741 4902 4988 6612 6924 7482 9804 10963 14964 16733 21926 23693 24811 32889 33466 43852 47386 49622 50199 65778 66932 71079 74433 94772 99244 100398 131556 142158 148866 200796 284316 297732 317927 471409 635854 719519 942818 953781 1271708 1414227 1439038 1885636 1907562 2158557 2828454 2878076 3815124 4317114 5656908 8634228 13670861 27341722 41012583 54683444 82025166 164050332