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3220553307114 = 232112135371167181
BaseRepresentation
bin101110110111010111111…
…011111001001111101010
3102101212210220020010212100
4232313113323321033222
5410231143121311424
610503300214154230
7451451212302213
oct56672773711752
912355726203770
103220553307114
111031913422800
124401b8952976
131a490a054560
14b1c3897040a
1558b922cbdc9
hex2edd7ef93ea

3220553307114 has 576 divisors, whose sum is σ = 8632790659584. Its totient is φ = 861404544000.

The previous prime is 3220553307109. The next prime is 3220553307151. The reversal of 3220553307114 is 4117033550223.

3220553307114 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 5 + 533 + 0 + 7 + 114 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17793112104 + ... + 17793112284.

It is an arithmetic number, because the mean of its divisors is an integer number (14987483784).

Almost surely, 23220553307114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220553307114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316395329792).

3220553307114 is an abundant number, since it is smaller than the sum of its proper divisors (5412237352470).

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

3220553307114 is a wasteful number, since it uses less digits than its factorization.

3220553307114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 3220553307114 its reverse (4117033550223), we get a palindrome (7337586857337).

The spelling of 3220553307114 in words is "three trillion, two hundred twenty billion, five hundred fifty-three million, three hundred seven thousand, one hundred fourteen".