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2200211022000 = 2435311318117929
BaseRepresentation
bin100000000001000110110…
…010111110000010110000
321210100010111012120020010
4200001012302332002300
5242022013010201000
64402432450014520
7314650165053405
oct40010662760260
97710114176203
102200211022000
11779116842a32
122b64ba277440
1312c62c4c9624
14786c29c22ac
153c374c36d50
hex20046cbe0b0

2200211022000 has 320 divisors, whose sum is σ = 7196193164160. Its totient is φ = 578285568000.

The previous prime is 2200211021989. The next prime is 2200211022017. The reversal of 2200211022000 is 2201120022.

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, 122709036 + ... + 122726964.

It is an arithmetic number, because the mean of its divisors is an integer number (22488103638).

Almost surely, 22200211022000 is an apocalyptic number.

2200211022000 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 2200211022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598096582080).

2200211022000 is an abundant number, since it is smaller than the sum of its proper divisors (4995982142160).

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

2200211022000 is a wasteful number, since it uses less digits than its factorization.

2200211022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18249 (or 18233 counting only the distinct ones).

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

Adding to 2200211022000 its reverse (2201120022), we get a palindrome (2202412142022).

The spelling of 2200211022000 in words is "two trillion, two hundred billion, two hundred eleven million, twenty-two thousand".