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2224313112 = 233782915971
BaseRepresentation
bin1000010010010100…
…0101001100011000
312202000102210222010
42010211011030120
514023411004422
61004414425520
7106056230610
oct20445051430
95660383863
102224313112
11a416263aa
12520b022a0
13295a95008
141715a9a40
15d0420b0c
hex84945318

2224313112 has 64 divisors (see below), whose sum is σ = 6363244800. Its totient is φ = 634711680.

The previous prime is 2224313057. The next prime is 2224313149. The reversal of 2224313112 is 2113134222.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131287 + ... + 147257.

It is an arithmetic number, because the mean of its divisors is an integer number (99425700).

Almost surely, 22224313112 is an apocalyptic number.

It is an amenable number.

2224313112 is an abundant number, since it is smaller than the sum of its proper divisors (4138931688).

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

2224313112 is a wasteful number, since it uses less digits than its factorization.

2224313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16816 (or 16812 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2224313112 is about 47162.6241000223. The cubic root of 2224313112 is about 1305.3650299301.

Adding to 2224313112 its reverse (2113134222), we get a palindrome (4337447334).

The spelling of 2224313112 in words is "two billion, two hundred twenty-four million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 829 1658 2487 3316 4974 5803 6632 9948 11606 15971 17409 19896 23212 31942 34818 46424 47913 63884 69636 95826 111797 127768 139272 191652 223594 335391 383304 447188 670782 894376 1341564 2683128 13239959 26479918 39719877 52959836 79439754 92679713 105919672 158879508 185359426 278039139 317759016 370718852 556078278 741437704 1112156556 2224313112