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230455040 = 285180043
BaseRepresentation
bin11011011110001…
…11011100000000
3121001122022212212
431233013130000
5432444030130
634511241252
75465556404
oct1557073400
9531568785
10230455040
111090a4312
1265219228
133898b43a
142286d104
1515372e95
hexdbc7700

230455040 has 36 divisors (see below), whose sum is σ = 552014904. Its totient is φ = 92181504.

The previous prime is 230455037. The next prime is 230455051. The reversal of 230455040 is 40554032.

230455040 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 2×2304550402 = 106219050922803200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 230454997 and 230455015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88742 + ... + 91301.

Almost surely, 2230455040 is an apocalyptic number.

230455040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230455040 is an abundant number, since it is smaller than the sum of its proper divisors (321559864).

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

230455040 is an equidigital number, since it uses as much as digits as its factorization.

230455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180064 (or 180050 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 230455040 is about 15180.7456997343. The cubic root of 230455040 is about 613.0963587771.

The spelling of 230455040 in words is "two hundred thirty million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 180043 360086 720172 900215 1440344 1800430 2880688 3600860 5761376 7201720 11522752 14403440 23045504 28806880 46091008 57613760 115227520 230455040