2221432000 has 112 divisors (see below), whose sum is σ = 5741042112. Its totient is φ = 849868800.

The previous prime is 2221431959. The next prime is 2221432009. The reversal of 2221432000 is 2341222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2221432009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177964 + ... + 190036.

Almost surely, 2^2221432000 is an apocalyptic number.

2221432000 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 2221432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870521056).

2221432000 is an abundant number, since it is smaller than the sum of its proper divisors (3519610112).

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

2221432000 is a wasteful number, since it uses less digits than its factorization.

2221432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12123 (or 12103 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2221432000 is about 47132.0697614692. The cubic root of 2221432000 is about 1304.8011812808.

Adding to 2221432000 its reverse (2341222), we get a palindrome (2223773222).

The spelling of 2221432000 in words is "two billion, two hundred twenty-one million, four hundred thirty-two thousand".