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2202221021000 = 235371113171271019
BaseRepresentation
bin100000000010111110100…
…110100000011101001000
321210112022120101002111112
4200002332212200131020
5242040122040133000
64403404131145452
7315051042551660
oct40027646403510
97715276332445
102202221021000
11779a58399a30
122b697b445288
1312c88ca64c50
14788339211a0
153c441422235
hex200be9a0748

2202221021000 has 1024 divisors, whose sum is σ = 7390907596800. Its totient is φ = 591058944000.

The previous prime is 2202221020997. The next prime is 2202221021029. The reversal of 2202221021000 is 1201222022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2161158491 + ... + 2161159509.

It is an arithmetic number, because the mean of its divisors is an integer number (7217683200).

Almost surely, 22202221021000 is an apocalyptic number.

2202221021000 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 2202221021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695453798400).

2202221021000 is an abundant number, since it is smaller than the sum of its proper divisors (5188686575800).

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

2202221021000 is a wasteful number, since it uses less digits than its factorization.

2202221021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202221021000 its reverse (1201222022), we get a palindrome (2203422243022).

The spelling of 2202221021000 in words is "two trillion, two hundred two billion, two hundred twenty-one million, twenty-one thousand".