2226214224 has 120 divisors (see below), whose sum is σ = 6891116232. Its totient is φ = 666455040.

The previous prime is 2226214223. The next prime is 2226214247. The reversal of 2226214224 is 4224126222.

2226214224 is a `hidden beast` number, since 2 + 226 + 214 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1060674624 + 1165539600 = 32568^2 + 34140^2 .

It is a super-2 number, since 2×2226214224² = 9912059542279844352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226214223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53194 + ... + 85334.

Almost surely, 2^2226214224 is an apocalyptic number.

2226214224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445558116).

2226214224 is an abundant number, since it is smaller than the sum of its proper divisors (4664902008).

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

2226214224 is a wasteful number, since it uses less digits than its factorization.

2226214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32205 (or 32196 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2226214224 is about 47182.7746534686. The cubic root of 2226214224 is about 1305.7368208779.

The spelling of 2226214224 in words is "two billion, two hundred twenty-six million, two hundred fourteen thousand, two hundred twenty-four".