47221200 has 180 divisors, whose sum is σ = 176651020. Its totient is φ = 11612160.

The previous prime is 47221199. The next prime is 47221283. The reversal of 47221200 is 212274.

It can be written as a sum of positive squares in 6 ways, for example, as 8433216 + 38787984 = 2904^2 + 6228^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46296 + ... + 47304.

Almost surely, 2^47221200 is an apocalyptic number.

47221200 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 47221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88325510).

47221200 is an abundant number, since it is smaller than the sum of its proper divisors (129429820).

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

47221200 is a wasteful number, since it uses less digits than its factorization.

47221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 47221200 is about 6871.7683313686. The cubic root of 47221200 is about 361.4478727429.

Adding to 47221200 its reverse (212274), we get a palindrome (47433474).

The spelling of 47221200 in words is "forty-seven million, two hundred twenty-one thousand, two hundred".