45227820 has 192 divisors, whose sum is σ = 152409600. Its totient is φ = 9891840.

The previous prime is 45227789. The next prime is 45227827. The reversal of 45227820 is 2872254.

45227820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45227827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325311 + ... + 325449.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^45227820 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 45227820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

45227820 is an abundant number, since it is smaller than the sum of its proper divisors (107181780).

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

45227820 is a wasteful number, since it uses less digits than its factorization.

45227820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45227820 is about 6725.1631950459. The cubic root of 45227820 is about 356.2885658464.

The spelling of 45227820 in words is "forty-five million, two hundred twenty-seven thousand, eight hundred twenty".