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230269624 = 231317139937
BaseRepresentation
bin11011011100110…
…10001010111000
3121001021220112121
431232122022320
5432422111444
634503251024
75464155004
oct1556321270
9531256477
10230269624
11108a87a82
1265149a74
1338924c20
1422821704
1515338084
hexdb9a2b8

230269624 has 64 divisors (see below), whose sum is σ = 496389600. Its totient is φ = 99201024.

The previous prime is 230269621. The next prime is 230269631. The reversal of 230269624 is 426962032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 230269624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230269621) 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, 245284 + ... + 246220.

Almost surely, 2230269624 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 230269624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248194800).

230269624 is an abundant number, since it is smaller than the sum of its proper divisors (266119976).

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

230269624 is a wasteful number, since it uses less digits than its factorization.

230269624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 230269624 is about 15174.6375245012. The cubic root of 230269624 is about 612.9318894224.

The spelling of 230269624 in words is "two hundred thirty million, two hundred sixty-nine thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 139 221 278 442 556 884 937 1112 1768 1807 1874 2363 3614 3748 4726 7228 7496 9452 12181 14456 15929 18904 24362 30719 31858 48724 61438 63716 97448 122876 127432 130243 207077 245752 260486 414154 520972 828308 1041944 1656616 1693159 2214131 3386318 4428262 6772636 8856524 13545272 17713048 28783703 57567406 115134812 230269624