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2224542996 = 22321316972801
BaseRepresentation
bin1000010010010111…
…1101010100010100
312202000212111022100
42010211331110110
514023440333441
61004423402100
7106061206044
oct20445752424
95660774270
102224542996
11a41773095
12520bb3330
13295b45840
14171629724
15d0468cb6
hex8497d514

2224542996 has 72 divisors (see below), whose sum is σ = 6061432104. Its totient is φ = 683827200.

The previous prime is 2224542979. The next prime is 2224542997. The reversal of 2224542996 is 6992454222.

It can be written as a sum of positive squares in 4 ways, for example, as 507600900 + 1716942096 = 22530^2 + 41436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224542997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792796 + ... + 795596.

It is an arithmetic number, because the mean of its divisors is an integer number (84186557).

Almost surely, 22224542996 is an apocalyptic number.

2224542996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2224542996 is an abundant number, since it is smaller than the sum of its proper divisors (3836889108).

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

2224542996 is a wasteful number, since it uses less digits than its factorization.

2224542996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4516 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2224542996 is about 47165.0611788006. The cubic root of 2224542996 is about 1305.4099984488.

The spelling of 2224542996 in words is "two billion, two hundred twenty-four million, five hundred forty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1697 2801 3394 5091 5602 6788 8403 10182 11204 15273 16806 20364 22061 25209 30546 33612 36413 44122 50418 61092 66183 72826 88244 100836 109239 132366 145652 198549 218478 264732 327717 397098 436956 655434 794196 1310868 4753297 9506594 14259891 19013188 28519782 42779673 57039564 61792861 85559346 123585722 171118692 185378583 247171444 370757166 556135749 741514332 1112271498 2224542996