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22100000000 = 28581317
BaseRepresentation
bin10100100101010000…
…110011110100000000
32010001012001022200112
4110211100303310000
5330230100000000
614052543410452
71411441620611
oct244520636400
963035038615
1022100000000
119410968111
1243492b3a28
1321127957a0
1410d9171c08
158952d3235
hex525433d00

22100000000 has 324 divisors, whose sum is σ = 62876920932. Its totient is φ = 7680000000.

The previous prime is 22099999991. The next prime is 22100000003. The reversal of 22100000000 is 122.

It can be written as a sum of positive squares in 18 ways, for example, as 634233856 + 21465766144 = 25184^2 + 146512^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22100000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100000003) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1299999992 + ... + 1300000008.

Almost surely, 222100000000 is an apocalyptic number.

22100000000 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 22100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31438460466).

22100000000 is an abundant number, since it is smaller than the sum of its proper divisors (40776920932).

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

22100000000 is an frugal number, since it uses more digits than its factorization.

22100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 22100000000 its reverse (122), we get a palindrome (22100000122).

The spelling of 22100000000 in words is "twenty-two billion, one hundred million", and thus it is an aban number.