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230822568 = 23338912007
BaseRepresentation
bin11011100001000…
…01001010101000
3121002100000001000
431300201022220
5433042310233
634523155000
75501650044
oct1560411250
9532300030
10230822568
11109325459
1265375a60
1338a89802
1422927024
15153e6d13
hexdc212a8

230822568 has 64 divisors (see below), whose sum is σ = 648432000. Its totient is φ = 76070016.

The previous prime is 230822567. The next prime is 230822587. The reversal of 230822568 is 865228032.

It is a super-2 number, since 2×2308225682 = 106558115796229248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (230822561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13221 + ... + 25227.

It is an arithmetic number, because the mean of its divisors is an integer number (10131750).

Almost surely, 2230822568 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 230822568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324216000).

230822568 is an abundant number, since it is smaller than the sum of its proper divisors (417609432).

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

230822568 is a wasteful number, since it uses less digits than its factorization.

230822568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111 (or 12101 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 230822568 is about 15192.8459480112. The cubic root of 230822568 is about 613.4221061907.

The spelling of 230822568 in words is "two hundred thirty million, eight hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 3204 4806 6408 9612 12007 19224 24014 36021 48028 72042 96056 108063 144084 216126 288168 324189 432252 648378 864504 1068623 1296756 2137246 2593512 3205869 4274492 6411738 8548984 9617607 12823476 19235214 25646952 28852821 38470428 57705642 76940856 115411284 230822568