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230228856 = 2332111359379
BaseRepresentation
bin11011011100100…
…00001101111000
3121001012211121200
431232100031320
5432414310411
634502334200
75463625104
oct1556201570
9531184550
10230228856
11108a5a390
126512a360
133890c4c0
1422810904
151532ae56
hexdb90378

230228856 has 192 divisors, whose sum is σ = 746928000. Its totient is φ = 63141120.

The previous prime is 230228851. The next prime is 230228857. The reversal of 230228856 is 658822032.

230228856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2302288562 = 106010652270137472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230228856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230228851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607275 + ... + 607653.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2230228856 is an apocalyptic number.

230228856 is a gapful number since it is divisible by the number (26) 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 230228856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

230228856 is an abundant number, since it is smaller than the sum of its proper divisors (516699144).

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

230228856 is a wasteful number, since it uses less digits than its factorization.

230228856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 230228856 is about 15173.2941710098. The cubic root of 230228856 is about 612.8957151880.

It can be divided in two parts, 23022 and 8856, that added together give a triangular number (31878 = T252).

The spelling of 230228856 in words is "two hundred thirty million, two hundred twenty-eight thousand, eight hundred fifty-six".