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22266656634456 = 233213113369157037
BaseRepresentation
bin1010001000000010111000…
…01010001011011001011000
32220211200010120210220200100
411010001130022023121120
510404304103044300311
6115205054424135400
74455466336355133
oct504013412133130
986750116726610
1022266656634456
1171052661a8073
1225b7516307560
13c56976727bc0
1456d9d777b21a
1528931812ba56
hex14405c28b658

22266656634456 has 192 divisors, whose sum is σ = 65538044601120. Its totient is φ = 6788689367040.

The previous prime is 22266656634433. The next prime is 22266656634491. The reversal of 22266656634456 is 65443665666222.

It is a happy number.

22266656634456 is a nontrivial binomial coefficient, being equal to C(6673329, 2).

It is a junction number, because it is equal to n+sod(n) for n = 22266656634393 and 22266656634402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390361170 + ... + 390418206.

Almost surely, 222266656634456 is an apocalyptic number.

22266656634456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22266656634456 is the 6673328-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22266656634456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32769022300560).

22266656634456 is an abundant number, since it is smaller than the sum of its proper divisors (43271387966664).

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

22266656634456 is a wasteful number, since it uses less digits than its factorization.

22266656634456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60866 (or 60859 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 63.

The spelling of 22266656634456 in words is "twenty-two trillion, two hundred sixty-six billion, six hundred fifty-six million, six hundred thirty-four thousand, four hundred fifty-six".