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2222079640704 = 273472111672381
BaseRepresentation
bin100000010101011110010…
…001001000010010000000
321212102120112212111110000
4200111132101020102000
5242401304342000304
64420450450240000
7316353130206300
oct40253621102200
97772515774400
102222079640704
11787419033930
122ba7a1b86000
1313170606b1b1
1479799123600
153cc04a62939
hex2055e448480

2222079640704 has 960 divisors, whose sum is σ = 8445642448320. Its totient is φ = 573466521600.

The previous prime is 2222079640699. The next prime is 2222079640747. The reversal of 2222079640704 is 4070469702222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2222079640704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 933253594 + ... + 933255974.

It is an arithmetic number, because the mean of its divisors is an integer number (8797544217).

Almost surely, 22222079640704 is an apocalyptic number.

2222079640704 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 2222079640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222821224160).

2222079640704 is an abundant number, since it is smaller than the sum of its proper divisors (6223562807616).

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

2222079640704 is a wasteful number, since it uses less digits than its factorization.

2222079640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2222079640704 in words is "two trillion, two hundred twenty-two billion, seventy-nine million, six hundred forty thousand, seven hundred four".