Search a number
-
+
230694048 = 253313192347
BaseRepresentation
bin11011100000000…
…01110010100000
3121002002110202000
431300001302200
5433024202143
634520324000
75500603254
oct1560016240
9532073660
10230694048
11109247942
1265313600
1338a43170
14228d2264
15153bdbd3
hexdc01ca0

230694048 has 384 divisors, whose sum is σ = 812851200. Its totient is φ = 62954496.

The previous prime is 230694019. The next prime is 230694049. The reversal of 230694048 is 840496032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230694049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4908361 + ... + 4908407.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2230694048 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 230694048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406425600).

230694048 is an abundant number, since it is smaller than the sum of its proper divisors (582157152).

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

230694048 is a wasteful number, since it uses less digits than its factorization.

230694048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 230694048 is about 15188.6157367944. The cubic root of 230694048 is about 613.3082356880.

The spelling of 230694048 in words is "two hundred thirty million, six hundred ninety-four thousand, forty-eight".