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165220536 = 233131733061
BaseRepresentation
bin10011101100100…
…01000010111000
3102111220001222010
421312101002320
5314244024121
624221125520
74044231345
oct1166210270
9374801863
10165220536
11852986a8
12473b98a0
13282caa40
1417d2b7cc
15e789376
hex9d910b8

165220536 has 64 divisors (see below), whose sum is σ = 447541920. Its totient is φ = 50526720.

The previous prime is 165220507. The next prime is 165220537. The reversal of 165220536 is 635022561.

165220536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1652205362 = 54595651032254592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165220537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52446 + ... + 55506.

Almost surely, 2165220536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165220536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223770960).

165220536 is an abundant number, since it is smaller than the sum of its proper divisors (282321384).

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

165220536 is a wasteful number, since it uses less digits than its factorization.

165220536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 165220536 is about 12853.8140643157. The cubic root of 165220536 is about 548.7249095441.

The spelling of 165220536 in words is "one hundred sixty-five million, two hundred twenty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 173 312 346 519 692 1038 1384 2076 2249 3061 4152 4498 6122 6747 8996 9183 12244 13494 17992 18366 24488 26988 36732 39793 53976 73464 79586 119379 159172 238758 318344 477516 529553 955032 1059106 1588659 2118212 3177318 4236424 6354636 6884189 12709272 13768378 20652567 27536756 41305134 55073512 82610268 165220536