Search a number
-
+
22022122048 = 261741212041
BaseRepresentation
bin10100100000100111…
…101110101001000000
32002211202111201012221
4110200213232221000
5330100130401143
614041122300424
71406504643313
oct244047565100
962752451187
1022022122048
119380a06273
1243271b7714
1320cc5c9264
1410cca9c97a
1588d54d2ed
hex5209eea40

22022122048 has 84 divisors (see below), whose sum is σ = 47430764676. Its totient is φ = 10109747200.

The previous prime is 22022121983. The next prime is 22022122049. The reversal of 22022122048 is 84022122022.

It can be written as a sum of positive squares in 6 ways, for example, as 2565219904 + 19456902144 = 50648^2 + 139488^2 .

It is not an unprimeable number, because it can be changed into a prime (22022122049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1822908 + ... + 1834948.

Almost surely, 222022122048 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 22022122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23715382338).

22022122048 is an abundant number, since it is smaller than the sum of its proper divisors (25408642628).

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

22022122048 is a wasteful number, since it uses less digits than its factorization.

22022122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12152 (or 12101 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The spelling of 22022122048 in words is "twenty-two billion, twenty-two million, one hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 328 544 656 697 1088 1312 1394 1681 2624 2788 3362 5576 6724 11152 12041 13448 22304 24082 26896 28577 44608 48164 53792 57154 96328 107584 114308 192656 204697 228616 385312 409394 457232 493681 770624 818788 914464 987362 1637576 1828928 1974724 3275152 3949448 6550304 7898896 8392577 13100608 15797792 16785154 20240921 31595584 33570308 40481842 67140616 80963684 134281232 161927368 268562464 323854736 344095657 537124928 647709472 688191314 1295418944 1376382628 2752765256 5505530512 11011061024 22022122048