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2243001220416 = 2632112318185037
BaseRepresentation
bin100000101000111101010…
…010100111110101000000
321221102120121111212101200
4200220331102213311000
5243222131303023131
64434230500301200
7321023442540435
oct40507522476500
97842517455350
102243001220416
11795284794380
123028606a1800
1313368b656968
147a7c1981b8c
153d52b66e2e6
hex20a3d4a7d40

2243001220416 has 336 divisors, whose sum is σ = 7359087835008. Its totient is φ = 646545715200.

The previous prime is 2243001220363. The next prime is 2243001220429. The reversal of 2243001220416 is 6140221003422.

2243001220416 is a `hidden beast` number, since 2 + 2 + 430 + 0 + 1 + 220 + 4 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2243001220416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26334250 + ... + 26419286.

It is an arithmetic number, because the mean of its divisors is an integer number (21902047128).

Almost surely, 22243001220416 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 2243001220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679543917504).

2243001220416 is an abundant number, since it is smaller than the sum of its proper divisors (5116086614592).

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

2243001220416 is a wasteful number, since it uses less digits than its factorization.

2243001220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85270 (or 85257 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2243001220416 its reverse (6140221003422), we get a palindrome (8383222223838).

The spelling of 2243001220416 in words is "two trillion, two hundred forty-three billion, one million, two hundred twenty thousand, four hundred sixteen".