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22022400422022 = 237111337499198599
BaseRepresentation
bin1010000000111011111010…
…10110101011000010000110
32212222022122221122200211220
411000131331112223002012
510341303334002001042
6114500541233541210
74432031416665540
oct500357526530206
985868587580756
1022022400422022
117020713a084a0
122578109414806
13c3991b6287a0
14561c65b22690
15282cbe6da8ec
hex14077d5ab086

22022400422022 has 256 divisors, whose sum is σ = 60857395200000. Its totient is φ = 5127069519360.

The previous prime is 22022400421949. The next prime is 22022400422039.

22022400422022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×220224004220222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22022400421983 and 22022400422001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110789479 + ... + 110988077.

It is an arithmetic number, because the mean of its divisors is an integer number (237724200000).

Almost surely, 222022400422022 is an apocalyptic number.

22022400422022 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 22022400422022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30428697600000).

22022400422022 is an abundant number, since it is smaller than the sum of its proper divisors (38834994777978).

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

22022400422022 is a wasteful number, since it uses less digits than its factorization.

22022400422022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199171.

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 22022400 and 422022, that added together give a palindrome (22444422).

The spelling of 22022400422022 in words is "twenty-two trillion, twenty-two billion, four hundred million, four hundred twenty-two thousand, twenty-two".