202838000 has 40 divisors (see below), whose sum is σ = 490467120. Its totient is φ = 81134400.

The previous prime is 202837969. The next prime is 202838017. The reversal of 202838000 is 838202.

202838000 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 super-2 number, since 2×202838000² = 82286508488000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48710 + ... + 52709.

It is an arithmetic number, because the mean of its divisors is an integer number (12261678).

Almost surely, 2^202838000 is an apocalyptic number.

202838000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202838000 is an abundant number, since it is smaller than the sum of its proper divisors (287629120).

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

202838000 is a wasteful number, since it uses less digits than its factorization.

202838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101442 (or 101426 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 202838000 is about 14242.1206286143. The cubic root of 202838000 is about 587.5566868495.

The spelling of 202838000 in words is "two hundred two million, eight hundred thirty-eight thousand".