2263000222431 has 96 divisors (see below), whose sum is σ = 3918299112000. Its totient is φ = 1292739969024.

The previous prime is 2263000222409. The next prime is 2263000222471. The reversal of 2263000222431 is 1342220003622.

It is a happy number.

2263000222431 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 0 + 0 + 0 + 222 + 431 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-2263000222431 is a prime.

It is a super-2 number, since 2×2263000222431² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2263000222395 and 2263000222404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263000222471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3631695 + ... + 4208943.

It is an arithmetic number, because the mean of its divisors is an integer number (40815615750).

Almost surely, 2^{2263000222431} is an apocalyptic number.

2263000222431 is a deficient number, since it is larger than the sum of its proper divisors (1655298889569).

2263000222431 is a wasteful number, since it uses less digits than its factorization.

2263000222431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577367 (or 577355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 2263000222431 in words is "two trillion, two hundred sixty-three billion, two hundred twenty-two thousand, four hundred thirty-one".