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231420456 = 2333171931107
BaseRepresentation
bin11011100101100…
…11001000101000
3121010110101012000
431302303020220
5433220423311
634544051000
75510020131
oct1562631050
9533411160
10231420456
111096a3683
1265603a60
1338c389a7
1422a40c88
15154b4056
hexdcb3228

231420456 has 256 divisors, whose sum is σ = 746496000. Its totient is φ = 65940480.

The previous prime is 231420451. The next prime is 231420509. The reversal of 231420456 is 654024132.

231420456 is a `hidden beast` number, since 231 + 420 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (231420451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2162755 + ... + 2162861.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2231420456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231420456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373248000).

231420456 is an abundant number, since it is smaller than the sum of its proper divisors (515075544).

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

231420456 is a wasteful number, since it uses less digits than its factorization.

231420456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 231420456 is about 15212.5098520921. The cubic root of 231420456 is about 613.9512882801.

Adding to 231420456 its reverse (654024132), we get a palindrome (885444588).

The spelling of 231420456 in words is "two hundred thirty-one million, four hundred twenty thousand, four hundred fifty-six".