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22022212122 = 2341796531163
BaseRepresentation
bin10100100000101000…
…000100101000011010
32002211202200021210000
4110200220010220122
5330100141241442
614041124233430
71406505500031
oct244050045032
962752607700
1022022212122
119380a67a09
12432723b876
1320cc62b261
1410ccac3718
1588d569d4c
hex520a04a1a

22022212122 has 80 divisors (see below), whose sum is σ = 49740467040. Its totient is φ = 7282281888.

The previous prime is 22022212117. The next prime is 22022212127. The reversal of 22022212122 is 22121222022.

It is an interprime number because it is at equal distance from previous prime (22022212117) and next prime (22022212127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22022212095 and 22022212104.

It is not an unprimeable number, because it can be changed into a prime (22022212127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18935113 + ... + 18936275.

It is an arithmetic number, because the mean of its divisors is an integer number (621755838).

Almost surely, 222022212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24870233520).

22022212122 is an abundant number, since it is smaller than the sum of its proper divisors (27718254918).

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

22022212122 is a wasteful number, since it uses less digits than its factorization.

22022212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22022212122 its reverse (22121222022), we get a palindrome (44143434144).

The spelling of 22022212122 in words is "twenty-two billion, twenty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 358 537 653 1074 1163 1306 1611 1959 2326 3222 3489 3918 4833 5877 6978 9666 10467 11754 14499 17631 20934 28998 31401 35262 52893 62802 94203 105786 116887 188406 208177 233774 350661 416354 624531 701322 759439 1051983 1249062 1518878 1873593 2103966 2278317 3155949 3747186 4556634 5620779 6311898 6834951 9467847 11241558 13669902 16862337 18935694 20504853 33724674 41009706 61514559 123029118 135939581 271879162 407818743 815637486 1223456229 2446912458 3670368687 7340737374 11011106061 22022212122