32220414 has 48 divisors (see below), whose sum is σ = 72558720. Its totient is φ = 10324800.

The previous prime is 32220413. The next prime is 32220437. The reversal of 32220414 is 41402223.

32220414 is a `hidden beast` number, since 32 + 220 + 414 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32220413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67027 + ... + 67505.

It is an arithmetic number, because the mean of its divisors is an integer number (1511640).

Almost surely, 2^32220414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32220414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279360).

32220414 is an abundant number, since it is smaller than the sum of its proper divisors (40338306).

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

32220414 is a wasteful number, since it uses less digits than its factorization.

32220414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 32220414 is about 5676.3028460434. The cubic root of 32220414 is about 318.2074711142.

Adding to 32220414 its reverse (41402223), we get a palindrome (73622637).

It can be divided in two parts, 322 and 20414, that added together give a 4-th power (20736 = 12⁴).

The spelling of 32220414 in words is "thirty-two million, two hundred twenty thousand, four hundred fourteen".