47225200 has 60 divisors (see below), whose sum is σ = 123784488. Its totient is φ = 17171200.

The previous prime is 47225197. The next prime is 47225219. The reversal of 47225200 is 252274.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 967 + ... + 9766.

Almost surely, 2^47225200 is an apocalyptic number.

47225200 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 47225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61892244).

47225200 is an abundant number, since it is smaller than the sum of its proper divisors (76559288).

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

47225200 is a wasteful number, since it uses less digits than its factorization.

47225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10762 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 47225200 is about 6872.0593711056. The cubic root of 47225200 is about 361.4580782627.

Adding to 47225200 its reverse (252274), we get a palindrome (47477474).

The spelling of 47225200 in words is "forty-seven million, two hundred twenty-five thousand, two hundred".