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22105200000 = 27355132109
BaseRepresentation
bin10100100101100100…
…101001010110000000
32010001112211111202010
4110211210221112000
5330232412400000
614053251052520
71411534046142
oct244544512600
963045744663
1022105200000
119413899a34
12434aba1140
132113896600
1410d9b26c92
158959add50
hex525929580

22105200000 has 576 divisors, whose sum is σ = 80200335600. Its totient is φ = 5391360000.

The previous prime is 22105199983. The next prime is 22105200031. The reversal of 22105200000 is 250122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202799946 + ... + 202800054.

Almost surely, 222105200000 is an apocalyptic number.

22105200000 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 22105200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40100167800).

22105200000 is an abundant number, since it is smaller than the sum of its proper divisors (58095135600).

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

22105200000 is an equidigital number, since it uses as much as digits as its factorization.

22105200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 22105200000 its reverse (250122), we get a palindrome (22105450122).

The spelling of 22105200000 in words is "twenty-two billion, one hundred five million, two hundred thousand".