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22001000000 = 265672449
BaseRepresentation
bin10100011111010111…
…001001111001000000
32002210021202121012212
4110133113021321000
5330024224000000
614035045441252
71406130262100
oct243727117100
962707677185
1022001000000
11936aa99a31
124320110228
1320c81121c5
1410c9d61200
1588b779c35
hex51f5c9e40

22001000000 has 294 divisors, whose sum is σ = 63623209050. Its totient is φ = 7526400000.

The previous prime is 22000999981. The next prime is 22001000003. The reversal of 22001000000 is 10022.

It can be written as a sum of positive squares in 7 ways, for example, as 21989330944 + 11669056 = 148288^2 + 3416^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22001000003) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 48999776 + ... + 49000224.

Almost surely, 222001000000 is an apocalyptic number.

22001000000 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 22001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31811604525).

22001000000 is an abundant number, since it is smaller than the sum of its proper divisors (41622209050).

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

22001000000 is an frugal number, since it uses more digits than its factorization.

22001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 463 counting only the distinct ones).

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

Adding to 22001000000 its reverse (10022), we get a palindrome (22001010022).

The spelling of 22001000000 in words is "twenty-two billion, one million", and thus it is an aban number and an uban number.