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231334432 = 2571935351
BaseRepresentation
bin11011100100111…
…10001000100000
3121010022000011221
431302132020200
5433210200212
634542144424
75506211260
oct1562361040
9533260157
10231334432
11109644a8a
1265582114
1338c087a4
1422a1b7a0
1515498807
hexdc9e220

231334432 has 48 divisors (see below), whose sum is σ = 523297152. Its totient is φ = 98611200.

The previous prime is 231334429. The next prime is 231334459. The reversal of 231334432 is 234433132.

It is a junction number, because it is equal to n+sod(n) for n = 231334397 and 231334406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40557 + ... + 45907.

It is an arithmetic number, because the mean of its divisors is an integer number (10902024).

Almost surely, 2231334432 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 231334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261648576).

231334432 is an abundant number, since it is smaller than the sum of its proper divisors (291962720).

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

231334432 is a wasteful number, since it uses less digits than its factorization.

231334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5553 counting only the distinct ones).

The product of its digits is 5184, while the sum is 25.

The square root of 231334432 is about 15209.6821794540. The cubic root of 231334432 is about 613.8752058514.

Adding to 231334432 its reverse (234433132), we get a palindrome (465767564).

The spelling of 231334432 in words is "two hundred thirty-one million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 386 772 1351 1544 2702 3088 5351 5404 6176 10702 10808 21404 21616 37457 42808 43232 74914 85616 149828 171232 299656 599312 1032743 1198624 2065486 4130972 7229201 8261944 14458402 16523888 28916804 33047776 57833608 115667216 231334432