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10222422201 = 3217101661517
BaseRepresentation
bin10011000010100110…
…11100100010111001
3222101102021212000200
421201103130202321
5131413420002301
64410205552413
7511215104115
oct114123344271
928342255020
1010222422201
114376322112
121b93575709
13c6bac5544
146cd900745
153ec695c86
hex2614dc8b9

10222422201 has 24 divisors (see below), whose sum is σ = 15789111624. Its totient is φ = 6350553600.

The previous prime is 10222422181. The next prime is 10222422229.

10222422201 is a `hidden beast` number, since 1 + 0 + 222 + 422 + 20 + 1 = 666.

10222422201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 8050396176 + 2172026025 = 89724^2 + 46605^2 .

It is not a de Polignac number, because 10222422201 - 26 = 10222422137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10222422401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315306 + ... + 346211.

It is an arithmetic number, because the mean of its divisors is an integer number (657879651).

Almost surely, 210222422201 is an apocalyptic number.

It is an amenable number.

10222422201 is a deficient number, since it is larger than the sum of its proper divisors (5566689423).

10222422201 is a wasteful number, since it uses less digits than its factorization.

10222422201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661641 (or 661638 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 10222422201 in words is "ten billion, two hundred twenty-two million, four hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 17 51 101 153 303 909 1717 5151 15453 661517 1984551 5953653 11245789 33737367 66813217 101212101 200439651 601318953 1135824689 3407474067 10222422201