203218512 has 80 divisors (see below), whose sum is σ = 602044800. Its totient is φ = 57862656.

The previous prime is 203218507. The next prime is 203218513. The reversal of 203218512 is 215812302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203218513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116398 + ... + 118130.

It is an arithmetic number, because the mean of its divisors is an integer number (7525560).

Almost surely, 2^203218512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203218512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301022400).

203218512 is an abundant number, since it is smaller than the sum of its proper divisors (398826288).

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

203218512 is a wasteful number, since it uses less digits than its factorization.

203218512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 203218512 is about 14255.4730542343. The cubic root of 203218512 is about 587.9238644539.

The spelling of 203218512 in words is "two hundred three million, two hundred eighteen thousand, five hundred twelve".