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2332000112 = 241319718311
BaseRepresentation
bin1000101011111111…
…0111111101110000
320000112001212202112
42022333313331300
514233443000422
61023222504452
7111534450101
oct21277677560
96015055675
102332000112
11a97398222
12550b95128
132b219a630
141819dc3a8
15d9ae2ee2
hex8aff7f70

2332000112 has 80 divisors (see below), whose sum is σ = 5194667520. Its totient is φ = 1005177600.

The previous prime is 2332000067. The next prime is 2332000117. The reversal of 2332000112 is 2110002332.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332000117) 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, 276437 + ... + 284747.

It is an arithmetic number, because the mean of its divisors is an integer number (64933344).

Almost surely, 22332000112 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 2332000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597333760).

2332000112 is an abundant number, since it is smaller than the sum of its proper divisors (2862667408).

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

2332000112 is a wasteful number, since it uses less digits than its factorization.

2332000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2332000112 is about 48290.7870302400. The cubic root of 2332000112 is about 1326.0997371721.

Adding to 2332000112 its reverse (2110002332), we get a palindrome (4442002444).

The spelling of 2332000112 in words is "two billion, three hundred thirty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 19 26 38 52 71 76 104 142 152 208 247 284 304 494 568 923 988 1136 1349 1846 1976 2698 3692 3952 5396 7384 8311 10792 14768 16622 17537 21584 33244 35074 66488 70148 108043 132976 140296 157909 216086 280592 315818 432172 590081 631636 864344 1180162 1263272 1728688 2052817 2360324 2526544 4105634 4720648 7671053 8211268 9441296 11211539 15342106 16422536 22423078 30684212 32845072 44846156 61368424 89692312 122736848 145750007 179384624 291500014 583000028 1166000056 2332000112