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22022221100 = 225211158312647
BaseRepresentation
bin10100100000101000…
…000110110100101100
32002211202200202002112
4110200220012310230
5330100142033400
614041124343152
71406505535145
oct244050066454
962752622075
1022022221100
119380a73730
124327244ab8
1320cc632379
1410ccac6acc
1588d56c835
hex520a06d2c

22022221100 has 72 divisors (see below), whose sum is σ = 52169660928. Its totient is φ = 8002388800.

The previous prime is 22022221021. The next prime is 22022221139. The reversal of 22022221100 is 112222022.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1734977 + ... + 1747623.

It is an arithmetic number, because the mean of its divisors is an integer number (724578624).

Almost surely, 222022221100 is an apocalyptic number.

22022221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26084830464).

22022221100 is an abundant number, since it is smaller than the sum of its proper divisors (30147439828).

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

22022221100 is a wasteful number, since it uses less digits than its factorization.

22022221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22022221100 its reverse (112222022), we get a palindrome (22134443122).

The spelling of 22022221100 in words is "twenty-two billion, twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1583 3166 6332 7915 12647 15830 17413 25294 31660 34826 39575 50588 63235 69652 79150 87065 126470 139117 158300 174130 252940 278234 316175 348260 435325 556468 632350 695585 870650 1264700 1391170 1741300 2782340 3477925 6955850 13911700 20020201 40040402 80080804 100101005 200202010 220222211 400404020 440444422 500505025 880888844 1001010050 1101111055 2002020100 2202222110 4404444220 5505555275 11011110550 22022221100