Search a number
-
+
165557016 = 233217413299
BaseRepresentation
bin10011101111000…
…11001100011000
3102112112011112100
421313203030120
5314340311031
624232243400
74050132342
oct1167431430
9375464470
10165557016
11854a8489
1247540560
13283b7c41
1417db8292
15e803de6
hex9de3318

165557016 has 96 divisors (see below), whose sum is σ = 486486000. Its totient is φ = 50657280.

The previous prime is 165556961. The next prime is 165557017. The reversal of 165557016 is 610755561.

165557016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165557017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48535 + ... + 51833.

Almost surely, 2165557016 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 165557016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243243000).

165557016 is an abundant number, since it is smaller than the sum of its proper divisors (320928984).

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

165557016 is a wasteful number, since it uses less digits than its factorization.

165557016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 165557016 is about 12866.8961292147. The cubic root of 165557016 is about 549.0971589915.

The spelling of 165557016 in words is "one hundred sixty-five million, five hundred fifty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 82 102 123 136 153 164 204 246 306 328 369 408 492 612 697 738 984 1224 1394 1476 2091 2788 2952 3299 4182 5576 6273 6598 8364 9897 12546 13196 16728 19794 25092 26392 29691 39588 50184 56083 59382 79176 112166 118764 135259 168249 224332 237528 270518 336498 405777 448664 504747 541036 672996 811554 1009494 1082072 1217331 1345992 1623108 2018988 2299403 2434662 3246216 4037976 4598806 4869324 6898209 9197612 9738648 13796418 18395224 20694627 27592836 41389254 55185672 82778508 165557016