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22556198104 = 23111736132417
BaseRepresentation
bin10101000000011101…
…000100010011011000
32011012222110120211121
4111000131010103120
5332143341314404
614210121335024
71425651343336
oct250035042330
964188416747
1022556198104
119625427540
124456037474
1321861526ab
14113d9a4b56
158c0397e54
hex5407444d8

22556198104 has 64 divisors (see below), whose sum is σ = 46499300640. Its totient is φ = 10172712960.

The previous prime is 22556198087. The next prime is 22556198129. The reversal of 22556198104 is 40189165522.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 9331104 + ... + 9333520.

Almost surely, 222556198104 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 22556198104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23249650320).

22556198104 is an abundant number, since it is smaller than the sum of its proper divisors (23943102536).

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

22556198104 is a wasteful number, since it uses less digits than its factorization.

22556198104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 22556198104 in words is "twenty-two billion, five hundred fifty-six million, one hundred ninety-eight thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 173 346 613 692 1226 1384 1903 2417 2452 3806 4834 4904 6743 7612 9668 13486 15224 19336 26587 26972 53174 53944 106049 106348 212098 212696 418141 424196 836282 848392 1166539 1481621 1672564 2333078 2963242 3345128 4599551 4666156 5926484 9199102 9332312 11852968 16297831 18398204 32595662 36796408 65191324 130382648 256320433 512640866 1025281732 2050563464 2819524763 5639049526 11278099052 22556198104