2242205022031 has 16 divisors (see below), whose sum is σ = 2438970045120. Its totient is φ = 2049003244800.

The previous prime is 2242205022007. The next prime is 2242205022041. The reversal of 2242205022031 is 1302205022422.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2242205022031 is a prime.

It is a super-2 number, since 2×2242205022031² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2242205021987 and 2242205022005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242205022041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374046 + ... + 2524363.

It is an arithmetic number, because the mean of its divisors is an integer number (152435627820).

Almost surely, 2^{2242205022031} is an apocalyptic number.

2242205022031 is a deficient number, since it is larger than the sum of its proper divisors (196765023089).

2242205022031 is a wasteful number, since it uses less digits than its factorization.

2242205022031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898866.

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 2242205022031 in words is "two trillion, two hundred forty-two billion, two hundred five million, twenty-two thousand, thirty-one".