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151600164 = 22319838011
BaseRepresentation
bin10010000100100…
…11110000100100
3101120021002022220
421002103300210
5302302201124
623013152340
73520402662
oct1102236044
9346232286
10151600164
11786354a1
124292b6b0
132553c351
14161c3c32
15d498879
hex9093c24

151600164 has 48 divisors (see below), whose sum is σ = 376884480. Its totient is φ = 47291040.

The previous prime is 151600159. The next prime is 151600171. The reversal of 151600164 is 461006151.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14919 + ... + 22929.

It is an arithmetic number, because the mean of its divisors is an integer number (7851760).

Almost surely, 2151600164 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 151600164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188442240).

151600164 is an abundant number, since it is smaller than the sum of its proper divisors (225284316).

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

151600164 is a wasteful number, since it uses less digits than its factorization.

151600164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8120 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 151600164 is about 12312.6018371423. The cubic root of 151600164 is about 533.2119701282.

The spelling of 151600164 in words is "one hundred fifty-one million, six hundred thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 996 1577 3154 4731 6308 8011 9462 16022 18924 24033 32044 48066 96132 152209 304418 456627 608836 664913 913254 1329826 1826508 1994739 2659652 3989478 7978956 12633347 25266694 37900041 50533388 75800082 151600164