202394016 has 144 divisors (see below), whose sum is σ = 649827360. Its totient is φ = 59189760.

The previous prime is 202393981. The next prime is 202394029. The reversal of 202394016 is 610493202.

202394016 is a `hidden beast` number, since 20 + 239 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90771 + ... + 92973.

It is an arithmetic number, because the mean of its divisors is an integer number (4512690).

Almost surely, 2^202394016 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 202394016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324913680).

202394016 is an abundant number, since it is smaller than the sum of its proper divisors (447433344).

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

202394016 is a wasteful number, since it uses less digits than its factorization.

202394016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 202394016 is about 14226.5250852062. The cubic root of 202394016 is about 587.1276805609.

The spelling of 202394016 in words is "two hundred two million, three hundred ninety-four thousand, sixteen".