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231648 = 25319127
BaseRepresentation
bin111000100011100000
3102202202120
4320203200
524403043
64544240
71653234
oct704340
9382676
10231648
1114904a
12b2080
1381591
14605c4
1548983
hex388e0

231648 has 48 divisors (see below), whose sum is σ = 645120. Its totient is φ = 72576.

The previous prime is 231643. The next prime is 231661. The reversal of 231648 is 846132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1761 + ... + 1887.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2231648 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 231648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

231648 is an abundant number, since it is smaller than the sum of its proper divisors (413472).

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

231648 is a wasteful number, since it uses less digits than its factorization.

231648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 231648 is about 481.2982443350. The cubic root of 231648 is about 61.4152444756.

The spelling of 231648 in words is "two hundred thirty-one thousand, six hundred forty-eight".