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231442432 = 211138693
BaseRepresentation
bin11011100101110…
…00100000000000
3121010111111022221
431302320200000
5433222124212
634544340424
75510141164
oct1562704000
9533444287
10231442432
11109709141
1265614714
1338c459b0
1422a48ca4
15154ba807
hexdcb8800

231442432 has 48 divisors (see below), whose sum is σ = 498427020. Its totient is φ = 106807296.

The previous prime is 231442411. The next prime is 231442451. The reversal of 231442432 is 234244132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 183223296 + 48219136 = 13536^2 + 6944^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 231442397 and 231442406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22278 + ... + 30970.

Almost surely, 2231442432 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 231442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249213510).

231442432 is an abundant number, since it is smaller than the sum of its proper divisors (266984588).

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

231442432 is an equidigital number, since it uses as much as digits as its factorization.

231442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728 (or 8708 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 231442432 is about 15213.2321352170. The cubic root of 231442432 is about 613.9707215470.

Adding to 231442432 its reverse (234244132), we get a palindrome (465686564).

The spelling of 231442432 in words is "two hundred thirty-one million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 6656 8693 13312 17386 26624 34772 69544 113009 139088 226018 278176 452036 556352 904072 1112704 1808144 2225408 3616288 4450816 7232576 8901632 14465152 17803264 28930304 57860608 115721216 231442432