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22224462680 = 2357233340657
BaseRepresentation
bin10100101100101011…
…100110001101011000
32010100212020200101102
4110230223212031120
5331003430301210
614113151210532
71414512546560
oct245453461530
963325220342
1022224462680
119475147832
124382b16a48
1321324c2a44
14110b8cdda0
158a11baea5
hex52cae6358

22224462680 has 64 divisors (see below), whose sum is σ = 57394059840. Its totient is φ = 7587090432.

The previous prime is 22224462679. The next prime is 22224462703. The reversal of 22224462680 is 8626442222.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 105089 + ... + 235568.

It is an arithmetic number, because the mean of its divisors is an integer number (896782185).

Almost surely, 222224462680 is an apocalyptic number.

22224462680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22224462680 is an abundant number, since it is smaller than the sum of its proper divisors (35169597160).

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

22224462680 is a wasteful number, since it uses less digits than its factorization.

22224462680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340908 (or 340904 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 22224462680 in words is "twenty-two billion, two hundred twenty-four million, four hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 233 280 466 932 1165 1631 1864 2330 3262 4660 6524 8155 9320 13048 16310 32620 65240 340657 681314 1362628 1703285 2384599 2725256 3406570 4769198 6813140 9538396 11922995 13626280 19076792 23845990 47691980 79373081 95383960 158746162 317492324 396865405 555611567 634984648 793730810 1111223134 1587461620 2222446268 2778057835 3174923240 4444892536 5556115670 11112231340 22224462680