Search a number
-
+
22022102199968 = 25131811229237977
BaseRepresentation
bin1010000000111011010111…
…00101000010111010100000
32212222021220011111110002122
411000131223211002322200
510341302231130344333
6114500451502003412
74432021136102513
oct500355345027240
985867804443078
1022022102199968
117020580638892
122578045576568
13c398a1901030
14561c38292d7a
15282ca342d798
hex14076b942ea0

22022102199968 has 96 divisors (see below), whose sum is σ = 46987451980560. Its totient is φ = 10099625287680.

The previous prime is 22022102199953. The next prime is 22022102199989. The reversal of 22022102199968 is 86999120122022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12493595098384 + 9528507101584 = 3534628^2 + 3086828^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92419796 + ... + 92657772.

Almost surely, 222022102199968 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 22022102199968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23493725990280).

22022102199968 is an abundant number, since it is smaller than the sum of its proper divisors (24965349780592).

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

22022102199968 is a wasteful number, since it uses less digits than its factorization.

22022102199968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239410 (or 239402 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 22022102199968 in words is "twenty-two trillion, twenty-two billion, one hundred two million, one hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 181 208 362 416 724 1229 1448 2353 2458 2896 4706 4916 5792 9412 9832 15977 18824 19664 31954 37648 39328 63908 75296 127816 222449 237977 255632 444898 475954 511264 889796 951908 1779592 1903816 2891837 3093701 3559184 3807632 5783674 6187402 7118368 7615264 11567348 12374804 23134696 24749608 43073837 46269392 49499216 86147674 92538784 98998432 172295348 292473733 344590696 559959881 584947466 689181392 1119919762 1169894932 1378362784 2239839524 2339789864 3802158529 4479679048 4679579728 7604317058 8959358096 9359159456 15208634116 17918716192 30417268232 52937745673 60834536464 105875491346 121669072928 211750982692 423501965384 688190693749 847003930768 1376381387498 1694007861536 2752762774996 5505525549992 11011051099984 22022102199968