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231310248 = 233136431153
BaseRepresentation
bin11011100100110…
…00001110101000
3121010020210000020
431302120032220
5433203411443
634541440440
75506050621
oct1562301650
9533223006
10231310248
111096288a4
1265570120
1338bca790
1422a12a48
1515491583
hexdc983a8

231310248 has 64 divisors (see below), whose sum is σ = 624267840. Its totient is φ = 71000064.

The previous prime is 231310243. The next prime is 231310291. The reversal of 231310248 is 842013132.

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

It is not an unprimeable number, because it can be changed into a prime (231310243) 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 15 ways as a sum of consecutive naturals, for example, 200040 + ... + 201192.

It is an arithmetic number, because the mean of its divisors is an integer number (9754185).

Almost surely, 2231310248 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 231310248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312133920).

231310248 is an abundant number, since it is smaller than the sum of its proper divisors (392957592).

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

231310248 is a wasteful number, since it uses less digits than its factorization.

231310248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1814 counting only the distinct ones).

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

The square root of 231310248 is about 15208.8871387751. The cubic root of 231310248 is about 613.8538133372.

It can be divided in two parts, 2313 and 10248, that added together give a triangular number (12561 = T158).

The spelling of 231310248 in words is "two hundred thirty-one million, three hundred ten thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 643 1153 1286 1929 2306 2572 3459 3858 4612 5144 6918 7716 8359 9224 13836 14989 15432 16718 25077 27672 29978 33436 44967 50154 59956 66872 89934 100308 119912 179868 200616 359736 741379 1482758 2224137 2965516 4448274 5931032 8896548 9637927 17793096 19275854 28913781 38551708 57827562 77103416 115655124 231310248