45082200 has 96 divisors (see below), whose sum is σ = 140794560. Its totient is φ = 11932800.

The previous prime is 45082199. The next prime is 45082201. The reversal of 45082200 is 228054.

It is an interprime number because it is at equal distance from previous prime (45082199) and next prime (45082201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45082201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136035 + ... + 136365.

It is an arithmetic number, because the mean of its divisors is an integer number (1466610).

Almost surely, 2^45082200 is an apocalyptic number.

45082200 is a gapful number since it is divisible by the number (40) 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 45082200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70397280).

45082200 is an abundant number, since it is smaller than the sum of its proper divisors (95712360).

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

45082200 is a wasteful number, since it uses less digits than its factorization.

45082200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45082200 is about 6714.3279633929. The cubic root of 45082200 is about 355.9057739936.

The spelling of 45082200 in words is "forty-five million, eighty-two thousand, two hundred".