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230269368 = 23371499199
BaseRepresentation
bin11011011100110…
…10000110111000
3121001021220012010
431232122012320
5432422104433
634503245520
75464154160
oct1556320670
9531256163
10230269368
11108a8786a
12651498a0
1338924a84
14228215a0
1515337e63
hexdb9a1b8

230269368 has 64 divisors (see below), whose sum is σ = 662400000. Its totient is φ = 65342592.

The previous prime is 230269363. The next prime is 230269373. The reversal of 230269368 is 863962032.

It is an interprime number because it is at equal distance from previous prime (230269363) and next prime (230269373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230269363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20433 + ... + 29631.

It is an arithmetic number, because the mean of its divisors is an integer number (10350000).

Almost surely, 2230269368 is an apocalyptic number.

230269368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230269368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331200000).

230269368 is an abundant number, since it is smaller than the sum of its proper divisors (432130632).

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

230269368 is a wasteful number, since it uses less digits than its factorization.

230269368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9364 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 230269368 is about 15174.6290893715. The cubic root of 230269368 is about 612.9316622820.

The spelling of 230269368 in words is "two hundred thirty million, two hundred sixty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 1043 1192 1788 2086 3129 3576 4172 6258 8344 9199 12516 18398 25032 27597 36796 55194 64393 73592 110388 128786 193179 220776 257572 386358 515144 772716 1370651 1545432 2741302 4111953 5482604 8223906 9594557 10965208 16447812 19189114 28783671 32895624 38378228 57567342 76756456 115134684 230269368