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22114304322 = 23112992912437
BaseRepresentation
bin10100100110000111…
…011000000101000010
32010002011222001112020
4110212013120011002
5330242230214242
614054214142310
71412004325305
oct244607300502
963064861466
1022114304322
119418a48170
124352051996
132115733596
1410db016b3c
158966ab6ec
hex5261d8142

22114304322 has 64 divisors (see below), whose sum is σ = 49970908800. Its totient is φ = 6462740480.

The previous prime is 22114304309. The next prime is 22114304323. The reversal of 22114304322 is 22340341122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22114304292 and 22114304301.

It is not an unprimeable number, because it can be changed into a prime (22114304323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1771888 + ... + 1784324.

It is an arithmetic number, because the mean of its divisors is an integer number (780795450).

Almost surely, 222114304322 is an apocalyptic number.

22114304322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22114304322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24985454400).

22114304322 is an abundant number, since it is smaller than the sum of its proper divisors (27856604478).

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

22114304322 is a wasteful number, since it uses less digits than its factorization.

22114304322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13411.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22114304322 its reverse (22340341122), we get a palindrome (44454645444).

The spelling of 22114304322 in words is "twenty-two billion, one hundred fourteen million, three hundred four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 929 957 1858 1914 2787 5574 10219 12437 20438 24874 26941 30657 37311 53882 61314 74622 80823 136807 161646 273614 296351 360673 410421 592702 721346 820842 889053 1082019 1778106 2164038 3967403 7934806 11553973 11902209 23107946 23804418 34661919 69323838 127093703 254187406 335065217 381281109 670130434 762562218 1005195651 2010391302 3685717387 7371434774 11057152161 22114304322