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22648804656 = 2432930752999
BaseRepresentation
bin10101000101111110…
…010101010100110000
32011110102201111010220
4111011332111110300
5332341043222111
614223230253040
71431154443312
oct250576252460
964412644126
1022648804656
119672729185
124481057180
13219c3a7b7a
14114bdcd7b2
158c858be06
hex545f95530

22648804656 has 80 divisors (see below), whose sum is σ = 60725280000. Its totient is φ = 7265389824.

The previous prime is 22648804649. The next prime is 22648804657. The reversal of 22648804656 is 65640884622.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22648804599 and 22648804608.

It is not an unprimeable number, because it can be changed into a prime (22648804657) by changing a digit.

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, 400845 + ... + 453843.

It is an arithmetic number, because the mean of its divisors is an integer number (759066000).

Almost surely, 222648804656 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 22648804656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30362640000).

22648804656 is an abundant number, since it is smaller than the sum of its proper divisors (38076475344).

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

22648804656 is a wasteful number, since it uses less digits than its factorization.

22648804656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53346 (or 53340 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 22648804656 in words is "twenty-two billion, six hundred forty-eight million, eight hundred four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 307 348 464 614 696 921 1228 1392 1842 2456 3684 4912 7368 8903 14736 17806 26709 35612 52999 53418 71224 105998 106836 142448 158997 211996 213672 317994 423992 427344 635988 847984 1271976 1536971 2543952 3073942 4610913 6147884 9221826 12295768 16270693 18443652 24591536 32541386 36887304 48812079 65082772 73774608 97624158 130165544 195248316 260331088 390496632 471850097 780993264 943700194 1415550291 1887400388 2831100582 3774800776 5662201164 7549601552 11324402328 22648804656