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230868792 = 23347211661
BaseRepresentation
bin11011100001011…
…00011100111000
3121002102100110000
431300230130320
5433100300132
634524153000
75502231600
oct1560543470
9532370400
10230868792
11109357160
1265398760
1338aa486b
1422939c00
151540587c
hexdc2c738

230868792 has 240 divisors, whose sum is σ = 821846520. Its totient is φ = 59875200.

The previous prime is 230868769. The next prime is 230868793. The reversal of 230868792 is 297868032.

230868792 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 (230868793) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 348942 + ... + 349602.

Almost surely, 2230868792 is an apocalyptic number.

230868792 is a gapful number since it is divisible by the number (22) 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 230868792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410923260).

230868792 is an abundant number, since it is smaller than the sum of its proper divisors (590977728).

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

230868792 is a wasteful number, since it uses less digits than its factorization.

230868792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 230868792 is about 15194.3671141644. The cubic root of 230868792 is about 613.4630509607.

It can be divided in two parts, 23086 and 8792, that added together give a triangular number (31878 = T252).

The spelling of 230868792 in words is "two hundred thirty million, eight hundred sixty-eight thousand, seven hundred ninety-two".