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2224131364 = 227313124699
BaseRepresentation
bin1000010010010001…
…1000110100100100
312202000002120122201
42010210120310210
514023334200424
61004410504244
7106054543000
oct20444306444
95660076581
102224131364
11a415118a4
12520a35084
13295a30380
1417155d700
15d03d6d44
hex84918d24

2224131364 has 48 divisors (see below), whose sum is σ = 4888240000. Its totient is φ = 879869088.

The previous prime is 2224131361. The next prime is 2224131373. The reversal of 2224131364 is 4631314222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2224131361) by changing a digit.

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, 44514 + ... + 80185.

Almost surely, 22224131364 is an apocalyptic number.

It is an amenable number.

2224131364 is an abundant number, since it is smaller than the sum of its proper divisors (2664108636).

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

2224131364 is a wasteful number, since it uses less digits than its factorization.

2224131364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124737 (or 124721 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 2224131364 is about 47160.6972382725. The cubic root of 2224131364 is about 1305.3294752916.

Adding to 2224131364 its reverse (4631314222), we get a palindrome (6855445586).

The spelling of 2224131364 in words is "two billion, two hundred twenty-four million, one hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 2548 4459 8918 17836 124699 249398 498796 872893 1621087 1745786 3242174 3491572 6110251 6484348 11347609 12220502 22695218 24441004 42771757 45390436 79433263 85543514 158866526 171087028 317733052 556032841 1112065682 2224131364