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230442504 = 23343474751
BaseRepresentation
bin11011011110001…
…00011000001000
3121001121200200120
431233010120020
5432443130004
634511103240
75465505015
oct1557043010
9531550616
10230442504
11109095956
1265211b20
1338985816
142286870c
151536e3d9
hexdbc4608

230442504 has 64 divisors (see below), whose sum is σ = 602173440. Its totient is φ = 73416000.

The previous prime is 230442491. The next prime is 230442517. The reversal of 230442504 is 405244032.

It is an interprime number because it is at equal distance from previous prime (230442491) and next prime (230442517).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46129 + ... + 50879.

It is an arithmetic number, because the mean of its divisors is an integer number (9408960).

Almost surely, 2230442504 is an apocalyptic number.

230442504 is a gapful number since it is divisible by the number (24) 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 230442504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301086720).

230442504 is an abundant number, since it is smaller than the sum of its proper divisors (371730936).

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

230442504 is a wasteful number, since it uses less digits than its factorization.

230442504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 230442504 is about 15180.3328026760. The cubic root of 230442504 is about 613.0852417637.

Adding to 230442504 its reverse (405244032), we get a palindrome (635686536).

The spelling of 230442504 in words is "two hundred thirty million, four hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 47 86 94 129 141 172 188 258 282 344 376 516 564 1032 1128 2021 4042 4751 6063 8084 9502 12126 14253 16168 19004 24252 28506 38008 48504 57012 114024 204293 223297 408586 446594 612879 669891 817172 893188 1225758 1339782 1634344 1786376 2451516 2679564 4903032 5359128 9601771 19203542 28805313 38407084 57610626 76814168 115221252 230442504