45112200 has 192 divisors, whose sum is σ = 167132160. Its totient is φ = 9841920.

The previous prime is 45112189. The next prime is 45112241. The reversal of 45112200 is 221154.

It is a super-2 number, since 2×45112200² = 4070221177680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 45112200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 96367 + ... + 96833.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^45112200 is an apocalyptic number.

45112200 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 45112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

45112200 is an abundant number, since it is smaller than the sum of its proper divisors (122019960).

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

45112200 is a wasteful number, since it uses less digits than its factorization.

45112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 45112200 is about 6716.5616203531. The cubic root of 45112200 is about 355.9847024525.

Adding to 45112200 its reverse (221154), we get a palindrome (45333354).

The spelling of 45112200 in words is "forty-five million, one hundred twelve thousand, two hundred".