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230380900 = 22522778317
BaseRepresentation
bin11011011101101…
…01010101100100
3121001111120011221
431232311111210
5432434142100
634505510124
75465130301
oct1556652544
9531446157
10230380900
11109053642
12651a2344
1338963779
14228500a8
151535b01a
hexdbb5564

230380900 has 36 divisors (see below), whose sum is σ = 501791668. Its totient is φ = 91808640.

The previous prime is 230380849. The next prime is 230380937. The reversal of 230380900 is 9083032.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9216 + 230371684 = 96^2 + 15178^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23542 + ... + 31858.

Almost surely, 2230380900 is an apocalyptic number.

230380900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230380900 is an abundant number, since it is smaller than the sum of its proper divisors (271410768).

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

230380900 is a wasteful number, since it uses less digits than its factorization.

230380900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8608 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 230380900 is about 15178.3035942756. The cubic root of 230380900 is about 613.0306050414.

The spelling of 230380900 in words is "two hundred thirty million, three hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 277 554 1108 1385 2770 5540 6925 8317 13850 16634 27700 33268 41585 83170 166340 207925 415850 831700 2303809 4607618 9215236 11519045 23038090 46076180 57595225 115190450 230380900