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230523504 = 24319252767
BaseRepresentation
bin11011011110110…
…00001001110000
3121001202210210120
431233120021300
5433003223004
634512530240
75466263121
oct1557301160
9531683716
10230523504
111091407a2
1265250980
13389b3653
142288a048
15153883d9
hexdbd8270

230523504 has 40 divisors (see below), whose sum is σ = 626864640. Its totient is φ = 72796608.

The previous prime is 230523499. The next prime is 230523509. The reversal of 230523504 is 405325032.

230523504 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230523499) and next prime (230523509).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230523509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125472 + ... + 127295.

It is an arithmetic number, because the mean of its divisors is an integer number (15671616).

Almost surely, 2230523504 is an apocalyptic number.

230523504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230523504 is an abundant number, since it is smaller than the sum of its proper divisors (396341136).

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

230523504 is a wasteful number, since it uses less digits than its factorization.

230523504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252797 (or 252791 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 230523504 is about 15183.0004939735. Note that the first 3 decimals coincide. The cubic root of 230523504 is about 613.1570660241.

Adding to 230523504 its reverse (405325032), we get a palindrome (635848536).

The spelling of 230523504 in words is "two hundred thirty million, five hundred twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 252767 505534 758301 1011068 1516602 2022136 3033204 4044272 4802573 6066408 9605146 12132816 14407719 19210292 28815438 38420584 57630876 76841168 115261752 230523504