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22221012000 = 2535311712371
BaseRepresentation
bin10100101100011110…
…011011110000100000
32010100121202100221110
4110230132123300200
5331002034341000
614112545223320
71414441325355
oct245436336040
963317670843
1022221012000
119473200230
124381931b40
132131885215
14110b27262c
158a0c38850
hex52c79bc20

22221012000 has 384 divisors, whose sum is σ = 80566327296. Its totient is φ = 5308800000.

The previous prime is 22221011987. The next prime is 22221012013. The reversal of 22221012000 is 21012222.

It is an interprime number because it is at equal distance from previous prime (22221011987) and next prime (22221012013).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9370815 + ... + 9373185.

It is an arithmetic number, because the mean of its divisors is an integer number (209808144).

Almost surely, 222221012000 is an apocalyptic number.

22221012000 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 22221012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40283163648).

22221012000 is an abundant number, since it is smaller than the sum of its proper divisors (58345315296).

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

22221012000 is a wasteful number, since it uses less digits than its factorization.

22221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22221012000 its reverse (21012222), we get a palindrome (22242024222).

The spelling of 22221012000 in words is "twenty-two billion, two hundred twenty-one million, twelve thousand".