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2200021100028 = 22331719435327673
BaseRepresentation
bin100000000000111011011…
…110011110010111111100
321210022122020211112021000
4200000323132132113330
5242021120400200103
64402401543210300
7314642400542133
oct40007336362774
97708566745230
102200021100028
11779029613824
122b6466746990
1312c5cc06056b
14786a56a491a
153c36321daa3
hex2003b79e5fc

2200021100028 has 384 divisors, whose sum is σ = 6627945139200. Its totient is φ = 626596798464.

The previous prime is 2200021100027. The next prime is 2200021100059. The reversal of 2200021100028 is 8200011200022.

It is a happy number.

It is a super-2 number, since 2×22000211000282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200021100027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79486800 + ... + 79514472.

It is an arithmetic number, because the mean of its divisors is an integer number (17260273800).

Almost surely, 22200021100028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200021100028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313972569600).

2200021100028 is an abundant number, since it is smaller than the sum of its proper divisors (4427924039172).

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

2200021100028 is a wasteful number, since it uses less digits than its factorization.

2200021100028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27818 (or 27810 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 2200021100028 in words is "two trillion, two hundred billion, twenty-one million, one hundred thousand, twenty-eight".