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230185152 = 263519241
BaseRepresentation
bin11011011100001…
…01100011000000
3121001010121200000
431232011203000
5432411411102
634501400000
75463353511
oct1556054300
9531117600
10230185152
11108a2a56a
1265109000
13388c5642
14227dca08
151531d01c
hexdb858c0

230185152 has 252 divisors, whose sum is σ = 739740456. Its totient is φ = 70917120.

The previous prime is 230185139. The next prime is 230185157. The reversal of 230185152 is 251581032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230185157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5614252 + ... + 5614292.

It is an arithmetic number, because the mean of its divisors is an integer number (2935478).

Almost surely, 2230185152 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 230185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369870228).

230185152 is an abundant number, since it is smaller than the sum of its proper divisors (509555304).

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

230185152 is an equidigital number, since it uses as much as digits as its factorization.

230185152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 230185152 is about 15171.8539407681. The cubic root of 230185152 is about 612.8569310409.

The spelling of 230185152 in words is "two hundred thirty million, one hundred eighty-five thousand, one hundred fifty-two".