45233100 has 144 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 10958400.

The previous prime is 45233087. The next prime is 45233131. The reversal of 45233100 is 133254.

45233100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45233100² = 4092066671220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28939 + ... + 30461.

It is an arithmetic number, because the mean of its divisors is an integer number (1102360).

Almost surely, 2^45233100 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 45233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

45233100 is an abundant number, since it is smaller than the sum of its proper divisors (113506740).

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

45233100 is a wasteful number, since it uses less digits than its factorization.

45233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45233100 is about 6725.5557391193. Note that the first 3 decimals coincide. The cubic root of 45233100 is about 356.3024299565.

Adding to 45233100 its reverse (133254), we get a palindrome (45366354).

The spelling of 45233100 in words is "forty-five million, two hundred thirty-three thousand, one hundred".