45016224 has 96 divisors (see below), whose sum is σ = 131798016. Its totient is φ = 13336320.

The previous prime is 45016211. The next prime is 45016229. The reversal of 45016224 is 42261054.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 45016194 and 45016203.

It is not an unprimeable number, because it can be changed into a prime (45016229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49179 + ... + 50085.

It is an arithmetic number, because the mean of its divisors is an integer number (1372896).

Almost surely, 2^45016224 is an apocalyptic number.

45016224 is a gapful number since it is divisible by the number (44) 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 45016224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65899008).

45016224 is an abundant number, since it is smaller than the sum of its proper divisors (86781792).

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

45016224 is a wasteful number, since it uses less digits than its factorization.

45016224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45016224 is about 6709.4130890861. The cubic root of 45016224 is about 355.7320712662.

Adding to 45016224 its reverse (42261054), we get a palindrome (87277278).

The spelling of 45016224 in words is "forty-five million, sixteen thousand, two hundred twenty-four".