Search a number
-
+
230556420 = 223251280869
BaseRepresentation
bin11011011111000…
…00001100000100
3121001211110221200
431233200030010
5433010301140
634513342500
75466461103
oct1557401404
9531743850
10230556420
111091634a6
1265267a30
13389c5623
142289803a
1515393030
hexdbe0304

230556420 has 36 divisors (see below), whose sum is σ = 699355020. Its totient is φ = 61481664.

The previous prime is 230556419. The next prime is 230556427. The reversal of 230556420 is 24655032.

230556420 is a `hidden beast` number, since 230 + 5 + 5 + 6 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 173765124 + 56791296 = 13182^2 + 7536^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (230556427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640255 + ... + 640614.

Almost surely, 2230556420 is an apocalyptic number.

230556420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230556420 is an abundant number, since it is smaller than the sum of its proper divisors (468798600).

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

230556420 is a wasteful number, since it uses less digits than its factorization.

230556420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280884 (or 1280879 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 230556420 is about 15184.0844307452. The cubic root of 230556420 is about 613.1862484677.

The spelling of 230556420 in words is "two hundred thirty million, five hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1280869 2561738 3842607 5123476 6404345 7685214 11527821 12808690 15370428 19213035 23055642 25617380 38426070 46111284 57639105 76852140 115278210 230556420