202214414000 has 40 divisors (see below), whose sum is σ = 488954457888. Its totient is φ = 80885764800.

The previous prime is 202214413979. The next prime is 202214414107. The reversal of 202214414000 is 414412202.

202214414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50551604 + ... + 50555603.

Almost surely, 2^202214414000 is an apocalyptic number.

202214414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202214414000 is an abundant number, since it is smaller than the sum of its proper divisors (286740043888).

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

202214414000 is a wasteful number, since it uses less digits than its factorization.

202214414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101107230 (or 101107214 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202214414000 its reverse (414412202), we get a palindrome (202628826202).

The spelling of 202214414000 in words is "two hundred two billion, two hundred fourteen million, four hundred fourteen thousand".