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10222692481 is a prime number
BaseRepresentation
bin10011000010101000…
…11110100010000001
3222101102210120210001
421201110132202001
5131414002124411
64410215440001
7511220311111
oct114124364201
928342716701
1010222692481
114376497191
121b93686001
13c6bb8b581
146cd971041
153ec6eadc1
hex26151e881

10222692481 has 2 divisors, whose sum is σ = 10222692482. Its totient is φ = 10222692480.

The previous prime is 10222692461. The next prime is 10222692497. The reversal of 10222692481 is 18429622201.

10222692481 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6644858256 + 3577834225 = 81516^2 + 59815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222692481 is a prime.

It is a super-2 number, since 2×102226924812 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10222692481.

It is not a weakly prime, because it can be changed into another prime (10222692461) 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 as a sum of consecutive naturals, namely, 5111346240 + 5111346241.

It is an arithmetic number, because the mean of its divisors is an integer number (5111346241).

Almost surely, 210222692481 is an apocalyptic number.

It is an amenable number.

10222692481 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222692481 is an equidigital number, since it uses as much as digits as its factorization.

10222692481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 10222692481 in words is "ten billion, two hundred twenty-two million, six hundred ninety-two thousand, four hundred eighty-one".