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22225661008 = 24171921511499
BaseRepresentation
bin10100101100110000…
…001010110001010000
32010100221111120011221
4110230300022301100
5331004232123013
614113233014424
71414526000335
oct245460126120
963327446157
1022225661008
119475896091
1243833b4414
132132822305
14110bb2298c
158a135608d
hex52cc0ac50

22225661008 has 120 divisors (see below), whose sum is σ = 48472344000. Its totient is φ = 9836467200.

The previous prime is 22225660973. The next prime is 22225661041. The reversal of 22225661008 is 80016652222.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14826243 + ... + 14827741.

It is an arithmetic number, because the mean of its divisors is an integer number (403936200).

Almost surely, 222225661008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22225661008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24236172000).

22225661008 is an abundant number, since it is smaller than the sum of its proper divisors (26246682992).

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

22225661008 is a wasteful number, since it uses less digits than its factorization.

22225661008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 22225661008 in words is "twenty-two billion, two hundred twenty-five million, six hundred sixty-one thousand, eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 151 152 272 302 304 323 361 604 646 722 1208 1292 1444 1499 2416 2567 2584 2869 2888 2998 5134 5168 5738 5776 5996 6137 10268 11476 11992 12274 20536 22952 23984 24548 25483 28481 41072 45904 48773 49096 50966 54511 56962 97546 98192 101932 109022 113924 195092 203864 218044 226349 227848 390184 407728 436088 452698 455696 484177 541139 780368 872176 905396 926687 968354 1082278 1810792 1853374 1936708 2164556 3621584 3706748 3847933 3873416 4300631 4329112 7413496 7695866 7746832 8601262 8658224 9199363 14826992 15391732 17202524 18398726 30783464 34405048 36797452 61566928 68810096 73110727 73594904 81711989 146221454 147189808 163423978 292442908 326847956 584885816 653695912 1169771632 1307391824 1389103813 2778207626 5556415252 11112830504 22225661008