45220032 has 280 divisors, whose sum is σ = 160062672. Its totient is φ = 12441600.

The previous prime is 45220027. The next prime is 45220033. The reversal of 45220032 is 23002254.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 = 45219987 and 45220014.

It is not an unprimeable number, because it can be changed into a prime (45220033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741282 + ... + 741342.

Almost surely, 2^45220032 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 45220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80031336).

45220032 is an abundant number, since it is smaller than the sum of its proper divisors (114842640).

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

45220032 is a wasteful number, since it uses less digits than its factorization.

45220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

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

The square root of 45220032 is about 6724.5841507115. The cubic root of 45220032 is about 356.2681143144.

Adding to 45220032 its reverse (23002254), we get a palindrome (68222286).

The spelling of 45220032 in words is "forty-five million, two hundred twenty thousand, thirty-two".