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2220022412256 = 2531143239204563
BaseRepresentation
bin100000010011100011101…
…001011011001111100000
321212020021011211110112210
4200103203221123033200
5242333101214143011
64415510400522120
7316251140102565
oct40234351331740
97766234743483
102220022412256
11786562859730
122ba309020340
13131468aa755c
1479641c0c86c
153cb341486a6
hex204e3a5b3e0

2220022412256 has 192 divisors, whose sum is σ = 6532432220160. Its totient is φ = 654336560640.

The previous prime is 2220022412243. The next prime is 2220022412263. The reversal of 2220022412256 is 6522142200222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10750231 + ... + 10954793.

It is an arithmetic number, because the mean of its divisors is an integer number (34023084480).

Almost surely, 22220022412256 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 2220022412256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266216110080).

2220022412256 is an abundant number, since it is smaller than the sum of its proper divisors (4312409807904).

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

2220022412256 is a wasteful number, since it uses less digits than its factorization.

2220022412256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204869 (or 204861 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2220022412256 its reverse (6522142200222), we get a palindrome (8742164612478).

The spelling of 2220022412256 in words is "two trillion, two hundred twenty billion, twenty-two million, four hundred twelve thousand, two hundred fifty-six".