30913200 has 180 divisors, whose sum is σ = 111137728. Its totient is φ = 7948800.

The previous prime is 30913177. The next prime is 30913213. The reversal of 30913200 is 231903.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111462 + ... + 111738.

Almost surely, 2^30913200 is an apocalyptic number.

30913200 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 30913200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55568864).

30913200 is an abundant number, since it is smaller than the sum of its proper divisors (80224528).

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

30913200 is a wasteful number, since it uses less digits than its factorization.

30913200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 30913200 is about 5559.9640286606. The cubic root of 30913200 is about 313.8445956360.

It can be divided in two parts, 30913 and 200, that added together give a palindrome (31113).

The spelling of 30913200 in words is "thirty million, nine hundred thirteen thousand, two hundred".