Search a number
-
+
231248640 = 2835721229
BaseRepresentation
bin11011100100010…
…01001100000000
3121010010122111110
431302021030000
5433144424030
634540243320
75505403200
oct1562111400
9533118443
10231248640
11109596587
1265540540
1338ba871c
14229d8400
151547d1b0
hexdc89300

231248640 has 216 divisors, whose sum is σ = 859829040. Its totient is φ = 52813824.

The previous prime is 231248609. The next prime is 231248657. The reversal of 231248640 is 46842132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 231248598 and 231248607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187546 + ... + 188774.

It is an arithmetic number, because the mean of its divisors is an integer number (3980690).

Almost surely, 2231248640 is an apocalyptic number.

231248640 is a gapful number since it is divisible by the number (20) 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 231248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429914520).

231248640 is an abundant number, since it is smaller than the sum of its proper divisors (628580400).

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

231248640 is a wasteful number, since it uses less digits than its factorization.

231248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 231248640 is about 15206.8616091553. The cubic root of 231248640 is about 613.7993098235.

The spelling of 231248640 in words is "two hundred thirty-one million, two hundred forty-eight thousand, six hundred forty".