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22134442241 = 298311717853
BaseRepresentation
bin10100100111010100…
…001100100100000001
32010010120212011120002
4110213110030210001
5330312404122431
614100213525345
71412340440402
oct244724144401
963116764502
1022134442241
11942935207a
124358943855
132119964702
1410dd9799a9
158983383cb
hex52750c901

22134442241 has 16 divisors (see below), whose sum is σ = 23196317760. Its totient is φ = 21092984640.

The previous prime is 22134442229. The next prime is 22134442243. The reversal of 22134442241 is 14224443122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22134442241 - 26 = 22134442177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22134442243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2814671 + ... + 2822523.

It is an arithmetic number, because the mean of its divisors is an integer number (1449769860).

Almost surely, 222134442241 is an apocalyptic number.

It is an amenable number.

22134442241 is a deficient number, since it is larger than the sum of its proper divisors (1061875519).

22134442241 is a wasteful number, since it uses less digits than its factorization.

22134442241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9136.

The product of its digits is 12288, while the sum is 29.

Adding to 22134442241 its reverse (14224443122), we get a palindrome (36358885363).

The spelling of 22134442241 in words is "twenty-two billion, one hundred thirty-four million, four hundred forty-two thousand, two hundred forty-one".

Divisors: 1 29 83 1171 2407 7853 33959 97193 227737 651799 2818597 9195863 18902171 266680027 763256629 22134442241