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22023211232022 = 237113132932353
BaseRepresentation
bin1010000000111101011011…
…01011101010101100010110
32212222101202110100010001220
411000132231223222230112
510341312014033411042
6114501153520231210
74432060463524230
oct500365553525426
985871673303056
1022023211232022
117020a9a662000
1225782b4a6b506
13c39a1a5c4b10
14561d016a3250
15282d1a99a8ec
hex1407adaeab16

22023211232022 has 384 divisors, whose sum is σ = 60001706161152. Its totient is φ = 5247361658880.

The previous prime is 22023211231991. The next prime is 22023211232063.

22023211232022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22023211231983 and 22023211232001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62388700198 + ... + 62388700550.

It is an arithmetic number, because the mean of its divisors is an integer number (156254443128).

Almost surely, 222023211232022 is an apocalyptic number.

22023211232022 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 22023211232022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30000853080576).

22023211232022 is an abundant number, since it is smaller than the sum of its proper divisors (37978494929130).

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

22023211232022 is a wasteful number, since it uses less digits than its factorization.

22023211232022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2202321 and 1232022, that added together give a palindrome (3434343).

The spelling of 22023211232022 in words is "twenty-two trillion, twenty-three billion, two hundred eleven million, two hundred thirty-two thousand, twenty-two".