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2222165297664 = 29331371174157
BaseRepresentation
bin100000010101100011010…
…111111000101000000000
321212102210112001022201000
4200111203113320220000
5242401443304011124
64420503150212000
7316355220243114
oct40254327705000
97772715038630
102222165297664
11787462419204
122ba8067b4000
1313171aa2c3a0
14797a665d744
153cc0c3326c9
hex205635f8a00

2222165297664 has 320 divisors, whose sum is σ = 7183557722880. Its totient is φ = 674109112320.

The previous prime is 2222165297663. The next prime is 2222165297669. The reversal of 2222165297664 is 4667925612222.

2222165297664 is a `hidden beast` number, since 2 + 22 + 21 + 6 + 529 + 76 + 6 + 4 = 666.

It is a super-2 number, since 2×22221652976642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2222165297664.

It is not an unprimeable number, because it can be changed into a prime (2222165297663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12672474 + ... + 12846630.

It is an arithmetic number, because the mean of its divisors is an integer number (22448617884).

Almost surely, 22222165297664 is an apocalyptic number.

2222165297664 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 2222165297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591778861440).

2222165297664 is an abundant number, since it is smaller than the sum of its proper divisors (4961392425216).

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

2222165297664 is a wasteful number, since it uses less digits than its factorization.

2222165297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174268 (or 174246 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 2222165297664 in words is "two trillion, two hundred twenty-two billion, one hundred sixty-five million, two hundred ninety-seven thousand, six hundred sixty-four".