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22212000000 = 283256617
BaseRepresentation
bin10100101011111100…
…000011100100000000
32010022222210111210200
4110223330003210000
5330442233000000
614112024125200
71414301612331
oct245374034400
963288714720
1022212000000
1194691053a3
12437a906800
13212ca4b288
141109da8288
158a0058500
hex52bf03900

22212000000 has 378 divisors, whose sum is σ = 80182059594. Its totient is φ = 5913600000.

The previous prime is 22211999983. The next prime is 22212000001. The reversal of 22212000000 is 21222.

It can be written as a sum of positive squares in 7 ways, for example, as 19739126016 + 2472873984 = 140496^2 + 49728^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22212000001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 35999692 + ... + 36000308.

Almost surely, 222212000000 is an apocalyptic number.

22212000000 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 22212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40091029797).

22212000000 is an abundant number, since it is smaller than the sum of its proper divisors (57970059594).

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

22212000000 is an frugal number, since it uses more digits than its factorization.

22212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22212000000 its reverse (21222), we get a palindrome (22212021222).

The spelling of 22212000000 in words is "twenty-two billion, two hundred twelve million", and thus it is an aban number.