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22022101112220 = 2232511536115122783
BaseRepresentation
bin1010000000111011010111…
…00000111001010110011100
32212222021220002110011222200
411000131223200321112130
510341302230341042340
6114500451422411500
74432021123622316
oct500355340712634
985867802404880
1022022101112220
11702057aa65620
122578045130b90
13c398a160cbb1
14561c3808c7b6
15282ca32b6330
hex14076b83959c

22022101112220 has 576 divisors, whose sum is σ = 75968385712128. Its totient is φ = 5117748480000.

The previous prime is 22022101112183. The next prime is 22022101112243. The reversal of 22022101112220 is 2221110122022.

It is a happy number.

22022101112220 is a `hidden beast` number, since 220 + 2 + 210 + 1 + 1 + 12 + 220 = 666.

It is a super-2 number, since 2×220221011122202 (a number of 27 digits) contains 22 as substring.

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 = 22022101112193 and 22022101112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 966590949 + ... + 966613731.

It is an arithmetic number, because the mean of its divisors is an integer number (131889558528).

Almost surely, 222022101112220 is an apocalyptic number.

22022101112220 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 22022101112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37984192856064).

22022101112220 is an abundant number, since it is smaller than the sum of its proper divisors (53946284599908).

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

22022101112220 is a wasteful number, since it uses less digits than its factorization.

22022101112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23074 (or 23069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22022101112220 its reverse (2221110122022), we get a palindrome (24243211234242).

The spelling of 22022101112220 in words is "twenty-two trillion, twenty-two billion, one hundred one million, one hundred twelve thousand, two hundred twenty".