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230450080 = 2557205759
BaseRepresentation
bin11011011110001…
…10001110100000
3121001122002002011
431233012032200
5432443400310
634511202304
75465536060
oct1557061640
9531562064
10230450080
111090a0613
1265216394
13389890c3
142286b3a0
151537178a
hexdbc63a0

230450080 has 48 divisors (see below), whose sum is σ = 622218240. Its totient is φ = 79011072.

The previous prime is 230450057. The next prime is 230450083. The reversal of 230450080 is 80054032.

230450080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230450083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101760 + ... + 103999.

It is an arithmetic number, because the mean of its divisors is an integer number (12962880).

Almost surely, 2230450080 is an apocalyptic number.

230450080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230450080 is an abundant number, since it is smaller than the sum of its proper divisors (391768160).

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

230450080 is a wasteful number, since it uses less digits than its factorization.

230450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205781 (or 205773 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 230450080 is about 15180.5823340213. The cubic root of 230450080 is about 613.0919602623.

The spelling of 230450080 in words is "two hundred thirty million, four hundred fifty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 205759 411518 823036 1028795 1440313 1646072 2057590 2880626 3292144 4115180 5761252 6584288 7201565 8230360 11522504 14403130 16460720 23045008 28806260 32921440 46090016 57612520 115225040 230450080