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230493276 = 223513172937
BaseRepresentation
bin11011011110100…
…00110001011100
3121001201021100000
431233100301130
5433001241101
634512134300
75466106026
oct1557206134
9531637300
10230493276
11109120012
1265237390
13389a2970
142287d016
151537e486
hexdbd0c5c

230493276 has 288 divisors, whose sum is σ = 731989440. Its totient is φ = 62705664.

The previous prime is 230493269. The next prime is 230493299. The reversal of 230493276 is 672394032.

It is a happy number.

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 230493276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6229530 + ... + 6229566.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2230493276 is an apocalyptic number.

230493276 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 230493276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365994720).

230493276 is an abundant number, since it is smaller than the sum of its proper divisors (501496164).

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

230493276 is a wasteful number, since it uses less digits than its factorization.

230493276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 230493276 is about 15182.0050059272. The cubic root of 230493276 is about 613.1302642423.

The spelling of 230493276 in words is "two hundred thirty million, four hundred ninety-three thousand, two hundred seventy-six".