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2222319839064 = 23313193141294953
BaseRepresentation
bin100000010101101100100…
…101011010011101011000
321212110012021211211122120
4200111230211122131120
5242402302334322224
64420530350421240
7316362104646123
oct40255445323530
97773167754576
102222319839064
11787531682476
122ba84a501820
13131743a5b3c0
14797bcdab3ba
153cc1abac779
hex2056c95a758

2222319839064 has 256 divisors, whose sum is σ = 6659825356800. Its totient is φ = 611612467200.

The previous prime is 2222319839059. The next prime is 2222319839119. The reversal of 2222319839064 is 4609389132222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2222319838998 and 2222319839016.

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 63 ways as a sum of consecutive naturals, for example, 7387012 + ... + 7681964.

It is an arithmetic number, because the mean of its divisors is an integer number (26014942800).

Almost surely, 22222319839064 is an apocalyptic number.

2222319839064 is a gapful number since it is divisible by the number (24) 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 2222319839064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329912678400).

2222319839064 is an abundant number, since it is smaller than the sum of its proper divisors (4437505517736).

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

2222319839064 is a wasteful number, since it uses less digits than its factorization.

2222319839064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295066 (or 295062 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 2222319839064 in words is "two trillion, two hundred twenty-two billion, three hundred nineteen million, eight hundred thirty-nine thousand, sixty-four".