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6442112232 = 2332312886251
BaseRepresentation
bin1011111111111101…
…01101010011101000
3121121221222012122100
411333332231103220
5101143140042412
62543124453400
7315433023213
oct57776552350
917557865570
106442112232
11280644a2a6
1212b954a260
137b886343a
1445181677a
1527a868edc
hex17ffad4e8

6442112232 has 48 divisors (see below), whose sum is σ = 18010212480. Its totient is φ = 2078100000.

The previous prime is 6442112227. The next prime is 6442112233. The reversal of 6442112232 is 2322112446.

6442112232 is a `hidden beast` number, since 6 + 4 + 421 + 1 + 2 + 232 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6442112196 and 6442112205.

It is not an unprimeable number, because it can be changed into a prime (6442112233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1440894 + ... + 1445357.

It is an arithmetic number, because the mean of its divisors is an integer number (375212760).

Almost surely, 26442112232 is an apocalyptic number.

6442112232 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

6442112232 is an abundant number, since it is smaller than the sum of its proper divisors (11568100248).

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

6442112232 is a wasteful number, since it uses less digits than its factorization.

6442112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886294 (or 2886287 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 6442112232 is about 80262.7698998733. The cubic root of 6442112232 is about 1860.6988771557.

Adding to 6442112232 its reverse (2322112446), we get a palindrome (8764224678).

The spelling of 6442112232 in words is "six billion, four hundred forty-two million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2886251 5772502 8658753 11545004 17317506 23090008 25976259 34635012 51952518 69270024 89473781 103905036 178947562 207810072 268421343 357895124 536842686 715790248 805264029 1073685372 1610528058 2147370744 3221056116 6442112232