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230658120 = 2332571153157
BaseRepresentation
bin11011011111110…
…01000001001000
3121002000122110100
431233321001020
5433022024440
634515445400
75500363440
oct1557710110
9532018410
10230658120
11109222950
12652b6860
1338a2c9c4
14228c3120
15153b3230
hexdbf9048

230658120 has 384 divisors, whose sum is σ = 958314240. Its totient is φ = 46725120.

The previous prime is 230658107. The next prime is 230658121. The reversal of 230658120 is 21856032.

230658120 is a `hidden beast` number, since 2 + 3 + 0 + 658 + 1 + 2 + 0 = 666.

230658120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230658121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1469082 + ... + 1469238.

It is an arithmetic number, because the mean of its divisors is an integer number (2495610).

Almost surely, 2230658120 is an apocalyptic number.

230658120 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 230658120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479157120).

230658120 is an abundant number, since it is smaller than the sum of its proper divisors (727656120).

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

230658120 is a wasteful number, since it uses less digits than its factorization.

230658120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 230658120 is about 15187.4329628150. The cubic root of 230658120 is about 613.2763954180.

The spelling of 230658120 in words is "two hundred thirty million, six hundred fifty-eight thousand, one hundred twenty".