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230822004 = 22378333107
BaseRepresentation
bin11011100001000…
…01000001110100
3121002022222021010
431300201001310
5433042301004
634523152220
75501645310
oct1560410164
9532288233
10230822004
11109324a96
1265375670
1338a8948a
1422926b40
15153e6a89
hexdc21074

230822004 has 48 divisors (see below), whose sum is σ = 622960128. Its totient is φ = 65152608.

The previous prime is 230822003. The next prime is 230822027. The reversal of 230822004 is 400228032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230822003) 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, 9582 + ... + 23525.

It is an arithmetic number, because the mean of its divisors is an integer number (12978336).

Almost surely, 2230822004 is an apocalyptic number.

It is an amenable number.

230822004 is an abundant number, since it is smaller than the sum of its proper divisors (392138124).

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

230822004 is a wasteful number, since it uses less digits than its factorization.

230822004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33204 (or 33202 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 230822004 is about 15192.8273866322. The cubic root of 230822004 is about 613.4216065712.

The spelling of 230822004 in words is "two hundred thirty million, eight hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 6972 33107 66214 99321 132428 198642 231749 397284 463498 695247 926996 1390494 2747881 2780988 5495762 8243643 10991524 16487286 19235167 32974572 38470334 57705501 76940668 115411002 230822004