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22422000022422 = 2371113193710152579
BaseRepresentation
bin1010001100100100001110…
…10110001011001110010110
32221101112002201210122211220
411012102013112023032112
510414330224001204142
6115404305152111210
74502636030362020
oct506220726131626
987345081718756
1022422000022422
117165131521730
12262164a535506
13c68502015690
14577332a59010
1528d3aad922ec
hex14648758b396

22422000022422 has 512 divisors, whose sum is σ = 65737753804800. Its totient is φ = 4906158336000.

The previous prime is 22422000022363. The next prime is 22422000022427.

22422000022422 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22422000022392 and 22422000022401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22422000022427) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 426417729 + ... + 426470307.

It is an arithmetic number, because the mean of its divisors is an integer number (128394050400).

Almost surely, 222422000022422 is an apocalyptic number.

22422000022422 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 22422000022422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32868876902400).

22422000022422 is an abundant number, since it is smaller than the sum of its proper divisors (43315753782378).

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

22422000022422 is a wasteful number, since it uses less digits than its factorization.

22422000022422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52772.

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 224220000 and 22422, that multiplied together give a square (5027460840000 = 22422002).

The spelling of 22422000022422 in words is "twenty-two trillion, four hundred twenty-two billion, twenty-two thousand, four hundred twenty-two".