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2200200022200 = 2335259544111423
BaseRepresentation
bin100000000001000110001…
…001000000100010111000
321210100002201111201100010
4200001012021000202320
5242022002201202300
64402431414141520
7314650002421125
oct40010611004270
97710081451303
102200200022200
1177911060a694
122b64b66518a0
1312c62a14797b
14786c135b74c
153c373cb2a50
hex200462408b8

2200200022200 has 192 divisors, whose sum is σ = 6938105932800. Its totient is φ = 576619110400.

The previous prime is 2200200022199. The next prime is 2200200022217. The reversal of 2200200022200 is 22200020022.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192605689 + ... + 192617111.

It is an arithmetic number, because the mean of its divisors is an integer number (36135968400).

Almost surely, 22200200022200 is an apocalyptic number.

2200200022200 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 2200200022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469052966400).

2200200022200 is an abundant number, since it is smaller than the sum of its proper divisors (4737905910600).

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

2200200022200 is a wasteful number, since it uses less digits than its factorization.

2200200022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16942 (or 16933 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2200200022200 its reverse (22200020022), we get a palindrome (2222400042222).

The spelling of 2200200022200 in words is "two trillion, two hundred billion, two hundred million, twenty-two thousand, two hundred".