Search a number
-
+
22805811336 = 23371141929453
BaseRepresentation
bin10101001111010101…
…010001000010001000
32011212101011020211010
4111033111101002020
5333201241430321
614250555403520
71435102124610
oct251725210210
964771136733
1022805811336
119743316670
1245057535a0
1321c5a8b029
141164bbda40
158d7252676
hex54f551088

22805811336 has 128 divisors (see below), whose sum is σ = 71255116800. Its totient is φ = 5909249280.

The previous prime is 22805811311. The next prime is 22805811337. The reversal of 22805811336 is 63311850822.

It is a super-2 number, since 2×228058113362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22805811294 and 22805811303.

It is not an unprimeable number, because it can be changed into a prime (22805811337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759586 + ... + 789038.

It is an arithmetic number, because the mean of its divisors is an integer number (556680600).

Almost surely, 222805811336 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 22805811336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35627558400).

22805811336 is an abundant number, since it is smaller than the sum of its proper divisors (48449305464).

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

22805811336 is a wasteful number, since it uses less digits than its factorization.

22805811336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29899 (or 29895 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 22805811336 in words is "twenty-two billion, eight hundred five million, eight hundred eleven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 419 462 616 838 924 1257 1676 1848 2514 2933 3352 4609 5028 5866 8799 9218 10056 11732 13827 17598 18436 23464 27654 29453 32263 35196 36872 55308 58906 64526 70392 88359 96789 110616 117812 129052 176718 193578 206171 235624 258104 323983 353436 387156 412342 618513 647966 706872 774312 824684 971949 1237026 1295932 1649368 1943898 2267881 2474052 2591864 3887796 4535762 4948104 6803643 7775592 9071524 12340807 13607286 18143048 24681614 27214572 37022421 49363228 54429144 74044842 86385649 98726456 135748877 148089684 172771298 259156947 271497754 296179368 345542596 407246631 518313894 542995508 691085192 814493262 950242139 1036627788 1085991016 1628986524 1900484278 2073255576 2850726417 3257973048 3800968556 5701452834 7601937112 11402905668 22805811336