Search a number
-
+
231675840 = 263251171103
BaseRepresentation
bin11011100111100…
…01011111000000
3121010221100111200
431303301133000
5433302111330
634553341200
75512132524
oct1563613700
9533840450
10231675840
11109858540
1265707800
1338cc7cc6
1422aa9d84
1515514a60
hexdcf17c0

231675840 has 336 divisors, whose sum is σ = 890113536. Its totient is φ = 54835200.

The previous prime is 231675839. The next prime is 231675841. The reversal of 231675840 is 48576132.

It is an interprime number because it is at equal distance from previous prime (231675839) and next prime (231675841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 231675795 and 231675804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231675841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2249229 + ... + 2249331.

Almost surely, 2231675840 is an apocalyptic number.

231675840 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 231675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445056768).

231675840 is an abundant number, since it is smaller than the sum of its proper divisors (658437696).

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

231675840 is a wasteful number, since it uses less digits than its factorization.

231675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 231675840 is about 15220.9014187728. The cubic root of 231675840 is about 614.1770471974.

The spelling of 231675840 in words is "two hundred thirty-one million, six hundred seventy-five thousand, eight hundred forty".