Search a number
-
+
230059008 = 2103353157
BaseRepresentation
bin11011011011001…
…10110000000000
3121000220012122000
431231212300000
5432343342013
634454544000
75462316654
oct1555466000
9530805560
10230059008
11108953813
1265068000
13388800ba
14227a8a64
15152e5973
hexdb66c00

230059008 has 176 divisors, whose sum is σ = 698600160. Its totient is φ = 74760192.

The previous prime is 230058991. The next prime is 230059009. The reversal of 230059008 is 800950032.

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 (230059009) 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, 1465266 + ... + 1465422.

Almost surely, 2230059008 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 230059008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349300080).

230059008 is an abundant number, since it is smaller than the sum of its proper divisors (468541152).

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

230059008 is a wasteful number, since it uses less digits than its factorization.

230059008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 230059008 is about 15167.6961994892. The cubic root of 230059008 is about 612.7449598006.

The spelling of 230059008 in words is "two hundred thirty million, fifty-nine thousand, eight".