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2002400112 = 243311345699
BaseRepresentation
bin111011101011010…
…0011001101110000
312011112212110120010
41313112203031300
513100103300422
6530410214520
7100423056126
oct16726431560
95145773503
102002400112
11938336929
1247a724440
1325bb0794b
1414dd21916
15babd8b0c
hex775a3370

2002400112 has 40 divisors (see below), whose sum is σ = 5339737600. Its totient is φ = 645935040.

The previous prime is 2002400089. The next prime is 2002400161. The reversal of 2002400112 is 2110042002.

It is a super-2 number, since 2×20024001122 = 8019212417075225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671362 + ... + 674337.

It is an arithmetic number, because the mean of its divisors is an integer number (133493440).

Almost surely, 22002400112 is an apocalyptic number.

It is an amenable number.

2002400112 is an abundant number, since it is smaller than the sum of its proper divisors (3337337488).

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

2002400112 is a wasteful number, since it uses less digits than its factorization.

2002400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345741 (or 1345735 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2002400112 is about 44748.1855721548. The cubic root of 2002400112 is about 1260.4248403615.

Adding to 2002400112 its reverse (2110042002), we get a palindrome (4112442114).

The spelling of 2002400112 in words is "two billion, two million, four hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1345699 2691398 4037097 5382796 8074194 10765592 16148388 21531184 32296776 41716669 64593552 83433338 125150007 166866676 250300014 333733352 500600028 667466704 1001200056 2002400112