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22224000456 = 233571633157
BaseRepresentation
bin10100101100101001…
…110101010111001000
32010100211101012100000
4110230221311113020
5331003321003311
614113133243000
71414505613150
oct245451652710
963324335300
1022224000456
119474961529
124382933460
132132390538
14110b80d760
158a1129056
hex52ca755c8

22224000456 has 96 divisors (see below), whose sum is σ = 71336341440. Its totient is φ = 6349710528.

The previous prime is 22224000437. The next prime is 22224000481. The reversal of 22224000456 is 65400042222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 802971 + ... + 830186.

It is an arithmetic number, because the mean of its divisors is an integer number (743086890).

Almost surely, 222224000456 is an apocalyptic number.

It is an amenable number.

22224000456 is an abundant number, since it is smaller than the sum of its proper divisors (49112340984).

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

22224000456 is a wasteful number, since it uses less digits than its factorization.

22224000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633185 (or 1633169 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22224000456 its reverse (65400042222), we get a palindrome (87624042678).

The spelling of 22224000456 in words is "twenty-two billion, two hundred twenty-four million, four hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 1633157 3266314 4899471 6532628 9798942 11432099 13065256 14698413 19597884 22864198 29396826 34296297 39195768 44095239 45728396 58793652 68592594 88190478 91456792 102888891 117587304 132285717 137185188 176380956 205777782 264571434 274370376 308666673 352761912 396857151 411555564 529142868 617333346 793714302 823111128 926000019 1058285736 1234666692 1587428604 1852000038 2469333384 2778000057 3174857208 3704000076 5556000114 7408000152 11112000228 22224000456