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165141150 = 235223151317
BaseRepresentation
bin10011101011111…
…01101010011110
3102111202001001220
421311331222132
5314234004100
624215314210
74043451036
oct1165755236
9374661056
10165141150
1185243a99
124737b966
13282a0875
1417d0a8c6
15e770aa0
hex9d7da9e

165141150 has 96 divisors (see below), whose sum is σ = 431543808. Its totient is φ = 41712000.

The previous prime is 165141139. The next prime is 165141157. The reversal of 165141150 is 51141561.

It is a self number, because there is not a number n which added to its sum of digits gives 165141150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165141157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520792 + ... + 521108.

It is an arithmetic number, because the mean of its divisors is an integer number (4495248).

Almost surely, 2165141150 is an apocalyptic number.

165141150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165141150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215771904).

165141150 is an abundant number, since it is smaller than the sum of its proper divisors (266402658).

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

165141150 is a wasteful number, since it uses less digits than its factorization.

165141150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 165141150 is about 12850.7256604442. The cubic root of 165141150 is about 548.6370107566.

The spelling of 165141150 in words is "one hundred sixty-five million, one hundred forty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 151 230 302 317 345 453 575 634 690 755 906 951 1150 1510 1585 1725 1902 2265 3170 3450 3473 3775 4530 4755 6946 7291 7550 7925 9510 10419 11325 14582 15850 17365 20838 21873 22650 23775 34730 36455 43746 47550 47867 52095 72910 86825 95734 104190 109365 143601 173650 182275 218730 239335 260475 287202 364550 478670 520950 546825 718005 1093650 1100941 1196675 1436010 2201882 2393350 3302823 3590025 5504705 6605646 7180050 11009410 16514115 27523525 33028230 55047050 82570575 165141150