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165352212 = 223319611321
BaseRepresentation
bin10011101101100…
…01001100010100
3102112010202121000
421312301030110
5314312232322
624224023300
74045320264
oct1166611424
9375122530
10165352212
1185378623
1247461b30
132834595c
1417d637a4
15e7b33ac
hex9db1314

165352212 has 96 divisors (see below), whose sum is σ = 458998400. Its totient is φ = 51321600.

The previous prime is 165352177. The next prime is 165352219. The reversal of 165352212 is 212253561.

It is a happy number.

165352212 is a `hidden beast` number, since 1 + 653 + 5 + 2 + 2 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165352219) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 124512 + ... + 125832.

Almost surely, 2165352212 is an apocalyptic number.

165352212 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 165352212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229499200).

165352212 is an abundant number, since it is smaller than the sum of its proper divisors (293646188).

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

165352212 is a wasteful number, since it uses less digits than its factorization.

165352212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1406 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 165352212 is about 12858.9351036546. The cubic root of 165352212 is about 548.8706434758.

The spelling of 165352212 in words is "one hundred sixty-five million, three hundred fifty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 108 114 122 171 183 228 244 342 366 513 549 684 732 1026 1098 1159 1321 1647 2052 2196 2318 2642 3294 3477 3963 4636 5284 6588 6954 7926 10431 11889 13908 15852 20862 23778 25099 31293 35667 41724 47556 50198 62586 71334 75297 80581 100396 125172 142668 150594 161162 225891 241743 301188 322324 451782 483486 677673 725229 903564 966972 1355346 1450458 1531039 2175687 2710692 2900916 3062078 4351374 4593117 6124156 8702748 9186234 13779351 18372468 27558702 41338053 55117404 82676106 165352212