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230569164 = 2232717107503
BaseRepresentation
bin11011011111000…
…11010011001100
3121001212010102200
431233203103030
5433011203124
634513521500
75466543210
oct1557432314
9531763380
10230569164
11109172031
1265273290
13389cb377
142289c940
1515396bc9
hexdbe34cc

230569164 has 144 divisors (see below), whose sum is σ = 713276928. Its totient is φ = 61300224.

The previous prime is 230569159. The next prime is 230569193. The reversal of 230569164 is 461965032.

It is a happy number.

230569164 is a `hidden beast` number, since 2 + 30 + 569 + 1 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458137 + ... + 458639.

It is an arithmetic number, because the mean of its divisors is an integer number (4953312).

Almost surely, 2230569164 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 230569164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356638464).

230569164 is an abundant number, since it is smaller than the sum of its proper divisors (482707764).

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

230569164 is a wasteful number, since it uses less digits than its factorization.

230569164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 230569164 is about 15184.5040748784. The cubic root of 230569164 is about 613.1975462108.

The spelling of 230569164 in words is "two hundred thirty million, five hundred sixty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 107 119 126 153 204 214 238 252 306 321 357 428 476 503 612 642 714 749 963 1006 1071 1284 1428 1498 1509 1819 1926 2012 2142 2247 2996 3018 3521 3638 3852 4284 4494 4527 5457 6036 6741 7042 7276 8551 8988 9054 10563 10914 12733 13482 14084 16371 17102 18108 21126 21828 25466 25653 26964 31689 32742 34204 38199 42252 50932 51306 53821 59857 63378 65484 76398 76959 102612 107642 114597 119714 126756 152796 153918 161463 179571 215284 229194 239428 307836 322926 359142 376747 458388 484389 538713 645852 718284 753494 914957 968778 1077426 1130241 1506988 1829914 1937556 2154852 2260482 2744871 3390723 3659828 4520964 5489742 6404699 6781446 8234613 10979484 12809398 13562892 16469226 19214097 25618796 32938452 38428194 57642291 76856388 115284582 230569164