2232022320 has 240 divisors, whose sum is σ = 8442031104. Its totient is φ = 523584000.

The previous prime is 2232022319. The next prime is 2232022343. The reversal of 2232022320 is 232202322.

2232022320 is a `hidden beast` number, since 2 + 2 + 320 + 22 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2232022320³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2232022293 and 2232022302.

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 47 ways as a sum of consecutive naturals, for example, 240975 + ... + 250065.

Almost surely, 2^2232022320 is an apocalyptic number.

2232022320 is a gapful number since it is divisible by the number (20) 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 2232022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221015552).

2232022320 is an abundant number, since it is smaller than the sum of its proper divisors (6210008784).

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

2232022320 is a wasteful number, since it uses less digits than its factorization.

2232022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2232022320 is about 47244.2834637165. The cubic root of 2232022320 is about 1306.8713716264.

Adding to 2232022320 its reverse (232202322), we get a palindrome (2464224642).

It can be divided in two parts, 223202 and 2320, that added together give a palindrome (225522).

The spelling of 2232022320 in words is "two billion, two hundred thirty-two million, twenty-two thousand, three hundred twenty".