31147200 has 336 divisors, whose sum is σ = 131023360. Its totient is φ = 7050240.

The previous prime is 31147183. The next prime is 31147201. The reversal of 31147200 is 274113.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (31147201) by changing a digit.

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, 302349 + ... + 302451.

Almost surely, 2^31147200 is an apocalyptic number.

31147200 is a gapful number since it is divisible by the number (30) 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 31147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65511680).

31147200 is an abundant number, since it is smaller than the sum of its proper divisors (99876160).

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

31147200 is a wasteful number, since it uses less digits than its factorization.

31147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 31147200 is about 5580.9676580321. The cubic root of 31147200 is about 314.6344966953.

The spelling of 31147200 in words is "thirty-one million, one hundred forty-seven thousand, two hundred".