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230264280 = 233253147439
BaseRepresentation
bin11011011100110…
…00110111011000
3121001021122012200
431232120313120
5432421424110
634503210200
75464133301
oct1556306730
9531248180
10230264280
11108a83a64
1265146960
133892266c
142281d7a8
15153366c0
hexdb98dd8

230264280 has 192 divisors, whose sum is σ = 790732800. Its totient is φ = 58026240.

The previous prime is 230264261. The next prime is 230264291. The reversal of 230264280 is 82462032.

230264280 is a `hidden beast` number, since 230 + 2 + 6 + 428 + 0 = 666.

230264280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524301 + ... + 524739.

It is an arithmetic number, because the mean of its divisors is an integer number (4118400).

Almost surely, 2230264280 is an apocalyptic number.

230264280 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 230264280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395366400).

230264280 is an abundant number, since it is smaller than the sum of its proper divisors (560468520).

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

230264280 is a wasteful number, since it uses less digits than its factorization.

230264280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230264280 is about 15174.4614401962. The cubic root of 230264280 is about 612.9271478311.

The spelling of 230264280 in words is "two hundred thirty million, two hundred sixty-four thousand, two hundred eighty".