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22112022112020 = 223251723373384163
BaseRepresentation
bin1010000011100010110110…
…01110010010011100010100
32220021212222211200021012200
411001301123032102130110
510344240410130041040
6115010042301444500
74441353343535511
oct501613316223424
986255884607180
1022112022112020
117055724028695
12259155b570730
13c45201c61b99
145663286a4308
152852b773a630
hex141c5b392714

22112022112020 has 288 divisors, whose sum is σ = 74127110383872. Its totient is φ = 5306908299264.

The previous prime is 22112022112007. The next prime is 22112022112091. The reversal of 22112022112020 is 2021122021122.

It is a happy number.

22112022112020 is a `hidden beast` number, since 2 + 211 + 202 + 211 + 20 + 20 = 666.

It is a super-2 number, since 2×221120221120202 (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 = 22112022111984 and 22112022112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262686459 + ... + 262770621.

It is an arithmetic number, because the mean of its divisors is an integer number (257385799944).

Almost surely, 222112022112020 is an apocalyptic number.

22112022112020 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 22112022112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37063555191936).

22112022112020 is an abundant number, since it is smaller than the sum of its proper divisors (52015088271852).

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

22112022112020 is a wasteful number, since it uses less digits than its factorization.

22112022112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87951 (or 87946 counting only the distinct ones).

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

Adding to 22112022112020 its reverse (2021122021122), we get a palindrome (24133144133142).

The spelling of 22112022112020 in words is "twenty-two trillion, one hundred twelve billion, twenty-two million, one hundred twelve thousand, twenty".