Search a number
-
+
22244313344 = 281158713457
BaseRepresentation
bin10100101101110111…
…010100100100000000
32010102020121012101012
4110231313110210000
5331024021011334
614115140500052
71415143354331
oct245567244400
963366535335
1022244313344
119485375940
1243896aa628
1321366531b6
1411103ba288
158a2cdc9ce
hex52ddd4900

22244313344 has 72 divisors (see below), whose sum is σ = 48524380128. Its totient is φ = 10093076480.

The previous prime is 22244313317. The next prime is 22244313367. The reversal of 22244313344 is 44331344222.

It is a super-4 number, since 4×222443133444 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 22244313344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1646264 + ... + 1659720.

It is an arithmetic number, because the mean of its divisors is an integer number (673949724).

Almost surely, 222244313344 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 22244313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24262190064).

22244313344 is an abundant number, since it is smaller than the sum of its proper divisors (26280066784).

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

22244313344 is a wasteful number, since it uses less digits than its factorization.

22244313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071 (or 14057 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

Adding to 22244313344 its reverse (44331344222), we get a palindrome (66575657566).

The spelling of 22244313344 in words is "twenty-two billion, two hundred forty-four million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 587 704 1174 1408 2348 2816 4696 6457 9392 12914 13457 18784 25828 26914 37568 51656 53828 75136 103312 107656 148027 150272 206624 215312 296054 413248 430624 592108 826496 861248 1184216 1652992 1722496 2368432 3444992 4736864 7899259 9473728 15798518 18947456 31597036 37894912 63194072 86891849 126388144 173783698 252776288 347567396 505552576 695134792 1011105152 1390269584 2022210304 2780539168 5561078336 11122156672 22244313344