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231232064 = 2672322441
BaseRepresentation
bin11011100100001…
…01001001000000
3121010002210202112
431302011021000
5433143411224
634540034452
75505303650
oct1562051100
9533083675
10231232064
11109585088
1265532a28
1338ba100b
14229d2360
151547830e
hexdc85240

231232064 has 56 divisors (see below), whose sum is σ = 547225728. Its totient is φ = 94786560.

The previous prime is 231232061. The next prime is 231232081. The reversal of 231232064 is 460232132.

231232064 is digitally balanced in base 3, 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (231232061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 917 + ... + 21524.

It is an arithmetic number, because the mean of its divisors is an integer number (9771888).

Almost surely, 2231232064 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 231232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273612864).

231232064 is an abundant number, since it is smaller than the sum of its proper divisors (315993664).

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

231232064 is a wasteful number, since it uses less digits than its factorization.

231232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22483 (or 22473 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 231232064 is about 15206.3165822628. The cubic root of 231232064 is about 613.7846436753.

Adding to 231232064 its reverse (460232132), we get a palindrome (691464196).

The spelling of 231232064 in words is "two hundred thirty-one million, two hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 22441 44882 89764 157087 179528 314174 359056 516143 628348 718112 1032286 1256696 1436224 2064572 2513392 3613001 4129144 5026784 7226002 8258288 10053568 14452004 16516576 28904008 33033152 57808016 115616032 231232064