201308814 has 80 divisors (see below), whose sum is σ = 519095808. Its totient is φ = 57118608.

The previous prime is 201308813. The next prime is 201308831. The reversal of 201308814 is 418803102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201308813) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 188847 + ... + 189909.

Almost surely, 2^201308814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201308814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259547904).

201308814 is an abundant number, since it is smaller than the sum of its proper divisors (317786994).

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

201308814 is a wasteful number, since it uses less digits than its factorization.

201308814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 201308814 is about 14188.3337288069. Note that the first 3 decimals coincide. The cubic root of 201308814 is about 586.0764401521.

It can be divided in two parts, 2013088 and 14, that added together give a palindrome (2013102).

The spelling of 201308814 in words is "two hundred one million, three hundred eight thousand, eight hundred fourteen".