2226312992 has 54 divisors (see below), whose sum is σ = 4636443483. Its totient is φ = 1052167104.

The previous prime is 2226312943. The next prime is 2226313007. The reversal of 2226312992 is 2992136222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1113156496 + 1113156496 = 33364^2 + 33364^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33364.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 5071109 + ... + 5071547.

Almost surely, 2^2226312992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226312992

2226312992 is an abundant number, since it is smaller than the sum of its proper divisors (2410130491).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2226312992 is an frugal number, since it uses more digits than its factorization.

2226312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 460 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 2226312992 is about 47183.8212950159. The cubic root of 2226312992 is about 1305.7561306559.

The spelling of 2226312992 in words is "two billion, two hundred twenty-six million, three hundred twelve thousand, nine hundred ninety-two".