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232231110032 = 24232103326561
BaseRepresentation
bin1101100001001000001…
…1011000010110010000
3211012102120210201110102
43120102003120112100
512301102131010112
6254404022351532
722530621602555
oct3302203302620
9735376721412
10232231110032
118a541453219
123901188b5a8
1318b8c9b8c0c
14b350984a2c
156092db2bc2
hex36120d8590

232231110032 has 60 divisors (see below), whose sum is σ = 470834346444. Its totient is φ = 110955356160.

The previous prime is 232231110029. The next prime is 232231110053. The reversal of 232231110032 is 230011132232.

It can be written as a sum of positive squares in 2 ways, for example, as 213891450256 + 18339659776 = 462484^2 + 135424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232231109986 and 232231110013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8730032 + ... + 8756592.

Almost surely, 2232231110032 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 232231110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235417173222).

232231110032 is an abundant number, since it is smaller than the sum of its proper divisors (238603236412).

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

232231110032 is a wasteful number, since it uses less digits than its factorization.

232231110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27648 (or 27619 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 232231110032 its reverse (230011132232), we get a palindrome (462242242264).

The spelling of 232231110032 in words is "two hundred thirty-two billion, two hundred thirty-one million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1033 1058 2066 2116 4132 4232 8264 8464 16528 23759 26561 47518 53122 95036 106244 190072 212488 380144 424976 546457 610903 1092914 1221806 2185828 2443612 4371656 4887224 8743312 9774448 14050769 27437513 28101538 54875026 56203076 109750052 112406152 219500104 224812304 439000208 631062799 1262125598 2524251196 5048502392 10097004784 14514444377 29028888754 58057777508 116115555016 232231110032