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231056064 = 263583179
BaseRepresentation
bin11011100010110…
…10001011000000
3121002202212100000
431301122023000
5433122243224
634532200000
75503641561
oct1561321300
9532685300
10231056064
11109474928
1265469000
1338b3bb85
1422988168
15154410c9
hexdc5a2c0

231056064 has 168 divisors, whose sum is σ = 698967360. Its totient is φ = 75665664.

The previous prime is 231056039. The next prime is 231056069. The reversal of 231056064 is 460650132.

It is a super-2 number, since 2×2310560642 = 106773809422344192, which contains 22 as substring.

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 (231056069) 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, 1290727 + ... + 1290905.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2231056064 is an apocalyptic number.

231056064 is a gapful number since it is divisible by the number (24) 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 231056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349483680).

231056064 is an abundant number, since it is smaller than the sum of its proper divisors (467911296).

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

231056064 is an equidigital number, since it uses as much as digits as its factorization.

231056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 231056064 is about 15200.5284118678. The cubic root of 231056064 is about 613.6288787774.

The spelling of 231056064 in words is "two hundred thirty-one million, fifty-six thousand, sixty-four".