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220431134022 = 2311263106111969
BaseRepresentation
bin1100110101001010111…
…0000010110101000110
3210001222020001211102220
43031102232002311012
512102420332242042
6245133100113210
721632326503261
oct3152256026506
9701866054386
10220431134022
11855366a0630
1236879b35806
1317a2c1195a8
14a951753cd8
155b01ea38ec
hex3352b82d46

220431134022 has 64 divisors (see below), whose sum is σ = 483264714240. Its totient is φ = 66475059200.

The previous prime is 220431134017. The next prime is 220431134039.

It is a happy number.

220431134022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220431133983 and 220431134001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18410854 + ... + 18422822.

It is an arithmetic number, because the mean of its divisors is an integer number (7551011160).

Almost surely, 2220431134022 is an apocalyptic number.

220431134022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220431134022 is an abundant number, since it is smaller than the sum of its proper divisors (262833580218).

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

220431134022 is a wasteful number, since it uses less digits than its factorization.

220431134022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13309.

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

It can be divided in two parts, 220431 and 134022, that added together give a palindrome (354453).

The spelling of 220431134022 in words is "two hundred twenty billion, four hundred thirty-one million, one hundred thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 263 526 789 1061 1578 2122 2893 3183 5786 6366 8679 11671 11969 17358 23342 23938 35013 35907 70026 71814 131659 263318 279043 394977 558086 789954 837129 1674258 3069473 3147847 6138946 6295694 9208419 9443541 12699109 18416838 18887082 25398218 34626317 38097327 69252634 76194654 103878951 139690199 207757902 279380398 419070597 838141194 3339865667 6679731334 10019597001 20039194002 36738522337 73477044674 110215567011 220431134022