47233200 has 120 divisors (see below), whose sum is σ = 172949248. Its totient is φ = 10794240.

The previous prime is 47233187. The next prime is 47233223. The reversal of 47233200 is 233274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×47233200³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 5589 + ... + 11211.

Almost surely, 2^47233200 is an apocalyptic number.

47233200 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 47233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86474624).

47233200 is an abundant number, since it is smaller than the sum of its proper divisors (125716048).

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

47233200 is a wasteful number, since it uses less digits than its factorization.

47233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 47233200 is about 6872.6414136051. The cubic root of 47233200 is about 361.4784875735.

Adding to 47233200 its reverse (233274), we get a palindrome (47466474).

The spelling of 47233200 in words is "forty-seven million, two hundred thirty-three thousand, two hundred".