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230551200 = 253252114171
BaseRepresentation
bin11011011110111…
…10111010100000
3121001211012210100
431233132322200
5433010114300
634513302400
75466436635
oct1557367240
9531735710
10230551200
1110915a590
1265264a00
13389c3139
142289618c
1515391700
hexdbdeea0

230551200 has 432 divisors, whose sum is σ = 921316032. Its totient is φ = 53760000.

The previous prime is 230551199. The next prime is 230551231. The reversal of 230551200 is 2155032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3247165 + ... + 3247235.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2230551200 is an apocalyptic number.

230551200 is a gapful number since it is divisible by the number (20) 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 230551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460658016).

230551200 is an abundant number, since it is smaller than the sum of its proper divisors (690764832).

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

230551200 is a wasteful number, since it uses less digits than its factorization.

230551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 230551200 is about 15183.9125392634. The cubic root of 230551200 is about 613.1816207409.

The spelling of 230551200 in words is "two hundred thirty million, five hundred fifty-one thousand, two hundred".