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231001056 = 253211137179
BaseRepresentation
bin11011100010011…
…00101111100000
3121002200001212200
431301030233200
5433114013211
634531053200
75503322316
oct1561145740
9532601780
10231001056
11109437570
1265441200
1338b1cb20
14229720b6
151542eb56
hexdc4cbe0

231001056 has 288 divisors, whose sum is σ = 792529920. Its totient is φ = 62899200.

The previous prime is 231001019. The next prime is 231001061. The reversal of 231001056 is 650100132.

231001056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2310010562 = 106722975746230272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2924025 + ... + 2924103.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2231001056 is an apocalyptic number.

231001056 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 231001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

231001056 is an abundant number, since it is smaller than the sum of its proper divisors (561528864).

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

231001056 is a wasteful number, since it uses less digits than its factorization.

231001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 231001056 is about 15198.7188933805. The cubic root of 231001056 is about 613.5801789427.

Adding to 231001056 its reverse (650100132), we get a palindrome (881101188).

The spelling of 231001056 in words is "two hundred thirty-one million, one thousand, fifty-six".