Search a number
-
+
22495962385 = 51317137181821
BaseRepresentation
bin10100111100110111…
…010010010100010001
32011001210010021222001
4110330313102110101
5332032431244020
614200130314001
71424320345111
oct247467222421
964053107861
1022495962385
1195a4425556
124439a28901
132176822360
1411359a5041
158b9e4a50a
hex53cdd2511

22495962385 has 64 divisors (see below), whose sum is σ = 31215772224. Its totient is φ = 15416524800.

The previous prime is 22495962367. The next prime is 22495962407. The reversal of 22495962385 is 58326959422.

22495962385 = 1060562 + 1060572.

It can be written as a sum of positive squares in 32 ways, for example, as 21087686656 + 1408275729 = 145216^2 + 37527^2 .

It is a de Polignac number, because none of the positive numbers 2k-22495962385 is a prime.

It is a super-3 number, since 3×224959623853 (a number of 32 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 27400275 + ... + 27401095.

It is an arithmetic number, because the mean of its divisors is an integer number (487746441).

Almost surely, 222495962385 is an apocalyptic number.

22495962385 is the 106057-th centered square number.

It is an amenable number.

22495962385 is a deficient number, since it is larger than the sum of its proper divisors (8719809839).

22495962385 is a wasteful number, since it uses less digits than its factorization.

22495962385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174.

The product of its digits is 9331200, while the sum is 55.

The spelling of 22495962385 in words is "twenty-two billion, four hundred ninety-five million, nine hundred sixty-two thousand, three hundred eighty-five".

Divisors: 1 5 13 17 65 85 137 181 221 685 821 905 1105 1781 2329 2353 3077 4105 8905 10673 11645 11765 13957 15385 24797 30277 40001 53365 69785 112477 123985 148601 151385 181441 200005 322361 421549 562385 743005 907205 1462201 1611805 1912109 1931813 2107745 2526217 5480137 7311005 9560545 9659065 12631085 20358337 24857417 27400685 32840821 101791685 124287085 164204105 264658381 346091729 1323291905 1730458645 4499192477 22495962385