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2220004444056 = 2337217943124469
BaseRepresentation
bin100000010011100010100…
…100111000011110011000
321212020012221000120210220
4200103202210320132120
5242333032114202211
64415504515440040
7316250531265300
oct40234244703630
97766187016726
102220004444056
117865536a6983
122ba302bb6020
13131465155b99
147963d692600
153cb32799806
hex204e2938798

2220004444056 has 192 divisors, whose sum is σ = 6507532224000. Its totient is φ = 629254321920.

The previous prime is 2220004444043. The next prime is 2220004444057. The reversal of 2220004444056 is 6504444000222.

It is a super-2 number, since 2×22200044440562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220004444057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90714990 + ... + 90739458.

It is an arithmetic number, because the mean of its divisors is an integer number (33893397000).

Almost surely, 22220004444056 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 2220004444056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253766112000).

2220004444056 is an abundant number, since it is smaller than the sum of its proper divisors (4287527779944).

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

2220004444056 is a wasteful number, since it uses less digits than its factorization.

2220004444056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25102 (or 25091 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 2220004444056 its reverse (6504444000222), we get a palindrome (8724448444278).

The spelling of 2220004444056 in words is "two trillion, two hundred twenty billion, four million, four hundred forty-four thousand, fifty-six".