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231882248 = 231321110567
BaseRepresentation
bin11011101001000…
…11111000001000
3121011022211122102
431310203320020
5433330212443
635002012532
75513652353
oct1564437010
9534284572
10231882248
11109989624
12657a7148
133906ac40
1422b2129a
1515555cb8
hexdd23e08

231882248 has 32 divisors (see below), whose sum is σ = 470487360. Its totient is φ = 106505280.

The previous prime is 231882241. The next prime is 231882269. The reversal of 231882248 is 842288132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (231882241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16661 + ... + 27227.

It is an arithmetic number, because the mean of its divisors is an integer number (14702730).

Almost surely, 2231882248 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 231882248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235243680).

231882248 is an abundant number, since it is smaller than the sum of its proper divisors (238605112).

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

231882248 is a wasteful number, since it uses less digits than its factorization.

231882248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10797 (or 10793 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 231882248 is about 15227.6803223603. The cubic root of 231882248 is about 614.3593902308.

The spelling of 231882248 in words is "two hundred thirty-one million, eight hundred eighty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 211 422 844 1688 2743 5486 10567 10972 21134 21944 42268 84536 137371 274742 549484 1098968 2229637 4459274 8918548 17837096 28985281 57970562 115941124 231882248