3333222144 has 144 divisors (see below), whose sum is σ = 11265219840. Its totient is φ = 952335360.

The previous prime is 3333222143. The next prime is 3333222173. The reversal of 3333222144 is 4412223333.

3333222144 is a `hidden beast` number, since 333 + 322 + 2 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3333222144² = 22220739722503913472, which contains 22 as substring.

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

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 (3333222143) 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, 13939 + ... + 82829.

Almost surely, 2^3333222144 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 3333222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632609920).

3333222144 is an abundant number, since it is smaller than the sum of its proper divisors (7931997696).

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

3333222144 is an equidigital number, since it uses as much as digits as its factorization.

3333222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68923 (or 68903 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 3333222144 is about 57734.0639830594. The cubic root of 3333222144 is about 1493.7849725208.

Adding to 3333222144 its reverse (4412223333), we get a palindrome (7745445477).

The spelling of 3333222144 in words is "three billion, three hundred thirty-three million, two hundred twenty-two thousand, one hundred forty-four".