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231794660 = 225176731013
BaseRepresentation
bin11011101000011…
…10011111100100
3121011011101111102
431310032133210
5433314412120
635000055232
75513136116
oct1564163744
9534141442
10231794660
11109929839
1265764518
133903a106
1422adb3b6
1515539d75
hexdd0e7e4

231794660 has 48 divisors (see below), whose sum is σ = 516677616. Its totient is φ = 87048192.

The previous prime is 231794653. The next prime is 231794663. The reversal of 231794660 is 66497132.

It can be written as a sum of positive squares in 8 ways, for example, as 32194276 + 199600384 = 5674^2 + 14128^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (231794663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228314 + ... + 229326.

It is an arithmetic number, because the mean of its divisors is an integer number (10764117).

Almost surely, 2231794660 is an apocalyptic number.

231794660 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 231794660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258338808).

231794660 is an abundant number, since it is smaller than the sum of its proper divisors (284882956).

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

231794660 is a wasteful number, since it uses less digits than its factorization.

231794660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 231794660 is about 15224.8041038300. The cubic root of 231794660 is about 614.2820272771.

The spelling of 231794660 in words is "two hundred thirty-one million, seven hundred ninety-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 673 1013 1346 2026 2692 3365 4052 5065 6730 10130 11441 13460 17221 20260 22882 34442 45764 57205 68884 86105 114410 172210 228820 344420 681749 1363498 2726996 3408745 6817490 11589733 13634980 23179466 46358932 57948665 115897330 231794660