2226144006 has 64 divisors (see below), whose sum is σ = 5266080000. Its totient is φ = 695065536.

The previous prime is 2226143993. The next prime is 2226144043. The reversal of 2226144006 is 6004416222.

2226144006 is a `hidden beast` number, since 2 + 2 + 2 + 614 + 40 + 0 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79125 + ... + 103503.

It is an arithmetic number, because the mean of its divisors is an integer number (82282500).

Almost surely, 2^2226144006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226144006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633040000).

2226144006 is an abundant number, since it is smaller than the sum of its proper divisors (3039935994).

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

2226144006 is a wasteful number, since it uses less digits than its factorization.

2226144006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24498 (or 24492 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2226144006 is about 47182.0305412982. The cubic root of 2226144006 is about 1305.7230924609.

The spelling of 2226144006 in words is "two billion, two hundred twenty-six million, one hundred forty-four thousand, six".