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231843456 = 273213113137
BaseRepresentation
bin11011101000110…
…10011010000000
3121011020212102200
431310122122000
5433322442311
635001113200
75513431305
oct1564323200
9534225380
10231843456
11109962469
1265788800
13390563a0
1422b110ac
1515549556
hexdd1a680

231843456 has 192 divisors, whose sum is σ = 730122120. Its totient is φ = 70189056.

The previous prime is 231843439. The next prime is 231843457. The reversal of 231843456 is 654348132.

231843456 is a `hidden beast` number, since 23 + 184 + 3 + 456 = 666.

231843456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 96353856 + 135489600 = 9816^2 + 11640^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 231843456.

It is not an unprimeable number, because it can be changed into a prime (231843457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692220 + ... + 1692356.

Almost surely, 2231843456 is an apocalyptic number.

231843456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231843456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365061060).

231843456 is an abundant number, since it is smaller than the sum of its proper divisors (498278664).

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

231843456 is a wasteful number, since it uses less digits than its factorization.

231843456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 231843456 is about 15226.4065360150. The cubic root of 231843456 is about 614.3251292230.

The spelling of 231843456 in words is "two hundred thirty-one million, eight hundred forty-three thousand, four hundred fifty-six".