Search a number
-
+
22204449168 = 24311331127051
BaseRepresentation
bin10100101011011111…
…010000000110010000
32010022110120220000020
4110223133100012100
5330433314333133
614111154223440
71414150463256
oct245337200620
963273526006
1022204449168
119464918340
124378284b80
13212b306425
141108da05d6
1589e5660b3
hex52b7d0190

22204449168 has 80 divisors (see below), whose sum is σ = 62765720832. Its totient is φ = 6708240000.

The previous prime is 22204449167. The next prime is 22204449181. The reversal of 22204449168 is 86194440222.

It is not an unprimeable number, because it can be changed into a prime (22204449167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111243 + ... + 238293.

Almost surely, 222204449168 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 22204449168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31382860416).

22204449168 is an abundant number, since it is smaller than the sum of its proper divisors (40561271664).

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

22204449168 is a wasteful number, since it uses less digits than its factorization.

22204449168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127404 (or 127398 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 22204449168 in words is "twenty-two billion, two hundred four million, four hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 331 528 662 993 1324 1986 2648 3641 3972 5296 7282 7944 10923 14564 15888 21846 29128 43692 58256 87384 127051 174768 254102 381153 508204 762306 1016408 1397561 1524612 2032816 2795122 3049224 4192683 5590244 6098448 8385366 11180488 16770732 22360976 33541464 42053881 67082928 84107762 126161643 168215524 252323286 336431048 462592691 504646572 672862096 925185382 1009293144 1387778073 1850370764 2018586288 2775556146 3700741528 5551112292 7401483056 11102224584 22204449168