54220032 has 108 divisors (see below), whose sum is σ = 158555124. Its totient is φ = 17817600.

The previous prime is 54220031. The next prime is 54220087. The reversal of 54220032 is 23002245.

It can be written as a sum of positive squares in 2 ways, for example, as 34292736 + 19927296 = 5856^2 + 4464^2 .

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 = 54219987 and 54220014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54220031) 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 11 ways as a sum of consecutive naturals, for example, 232588 + ... + 232820.

It is an arithmetic number, because the mean of its divisors is an integer number (1468103).

Almost surely, 2^54220032 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 54220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79277562).

54220032 is an abundant number, since it is smaller than the sum of its proper divisors (104335092).

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

54220032 is a wasteful number, since it uses less digits than its factorization.

54220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 54220032 is about 7363.4252899041. The cubic root of 54220032 is about 378.4889950946.

Adding to 54220032 its reverse (23002245), we get a palindrome (77222277).

The spelling of 54220032 in words is "fifty-four million, two hundred twenty thousand, thirty-two".