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22330121226 = 2375328335447
BaseRepresentation
bin10100110010111110…
…101001110000001010
32010122020001200122220
4110302332221300022
5331213002334401
614131443554510
71420234620150
oct246276516012
963566050586
1022330121226
119519853646
1243b238ba36
13214b367caa
14111b9553d0
158aa5dc336
hex532fa9c0a

22330121226 has 64 divisors (see below), whose sum is σ = 52188530688. Its totient is φ = 6237361728.

The previous prime is 22330121201. The next prime is 22330121227. The reversal of 22330121226 is 62212103322.

It is a junction number, because it is equal to n+sod(n) for n = 22330121196 and 22330121205.

It is not an unprimeable number, because it can be changed into a prime (22330121227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 612235 + ... + 647681.

It is an arithmetic number, because the mean of its divisors is an integer number (815445792).

Almost surely, 222330121226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22330121226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26094265344).

22330121226 is an abundant number, since it is smaller than the sum of its proper divisors (29858409462).

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

22330121226 is a wasteful number, since it uses less digits than its factorization.

22330121226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35795.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22330121226 its reverse (62212103322), we get a palindrome (84542224548).

The spelling of 22330121226 in words is "twenty-two billion, three hundred thirty million, one hundred twenty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 283 318 371 566 742 849 1113 1698 1981 2226 3962 5943 11886 14999 29998 35447 44997 70894 89994 104993 106341 209986 212682 248129 314979 496258 629958 744387 1488774 1878691 3757382 5636073 10031501 11272146 13150837 20063002 26301674 30094503 39452511 60189006 70220507 78905022 140441014 210661521 421323042 531669553 1063339106 1595008659 3190017318 3721686871 7443373742 11165060613 22330121226