45032200 has 24 divisors (see below), whose sum is σ = 104700330. Its totient is φ = 18012800.

The previous prime is 45032191. The next prime is 45032209. The reversal of 45032200 is 223054.

It is an interprime number because it is at equal distance from previous prime (45032191) and next prime (45032209).

It can be written as a sum of positive squares in 3 ways, for example, as 16793604 + 28238596 = 4098^2 + 5314^2 .

It is not an unprimeable number, because it can be changed into a prime (45032209) 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 5 ways as a sum of consecutive naturals, for example, 112381 + ... + 112780.

Almost surely, 2^45032200 is an apocalyptic number.

45032200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45032200 is an abundant number, since it is smaller than the sum of its proper divisors (59668130).

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

45032200 is a wasteful number, since it uses less digits than its factorization.

45032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225177 (or 225168 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 45032200 is about 6710.6035496071. The cubic root of 45032200 is about 355.7741487136.

Adding to 45032200 its reverse (223054), we get a palindrome (45255254).

The spelling of 45032200 in words is "forty-five million, thirty-two thousand, two hundred".