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2224640264 = 2371117212437
BaseRepresentation
bin1000010010011001…
…0101000100001000
312202001001102201212
42010212111010020
514024001442024
61004425432252
7106062062450
oct20446250410
95661042655
102224640264
11a4182a180
1252103b688
13295b7abb2
14171652d60
15d0487a0e
hex84995108

2224640264 has 64 divisors (see below), whose sum is σ = 5506392960. Its totient is φ = 815754240.

The previous prime is 2224640263. The next prime is 2224640269. The reversal of 2224640264 is 4620464222.

It is a self number, because there is not a number n which added to its sum of digits gives 2224640264.

It is not an unprimeable number, because it can be changed into a prime (2224640261) 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, 95747 + ... + 116690.

It is an arithmetic number, because the mean of its divisors is an integer number (86037390).

Almost surely, 22224640264 is an apocalyptic number.

It is an amenable number.

2224640264 is an abundant number, since it is smaller than the sum of its proper divisors (3281752696).

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

2224640264 is a wasteful number, since it uses less digits than its factorization.

2224640264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212478 (or 212474 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 2224640264 is about 47166.0923121685. The cubic root of 2224640264 is about 1305.4290244943.

The spelling of 2224640264 in words is "two billion, two hundred twenty-four million, six hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 5236 10472 212437 424874 849748 1487059 1699496 2336807 2974118 3611429 4673614 5948236 7222858 9347228 11896472 14445716 16357649 18694456 25280003 28891432 32715298 39725719 50560006 65430596 79451438 101120012 130861192 158902876 202240024 278080033 317805752 556160066 1112320132 2224640264