202000 has 40 divisors (see below), whose sum is σ = 493272. Its totient is φ = 80000.

The previous prime is 201997. The next prime is 202001. The reversal of 202000 is 202.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 200704 = 36^2 + 448^2 .

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 (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1950 + ... + 2050.

2²⁰²⁰⁰⁰ is an apocalyptic number.

202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246636).

202000 is an abundant number, since it is smaller than the sum of its proper divisors (291272).

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

202000 is a wasteful number, since it uses less digits than its factorization.

202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 202000 is about 449.4441010849. Note that the first 3 decimals coincide. The cubic root of 202000 is about 58.6746430844.

Adding to 202000 its reverse (202), we get a palindrome (202202).

202000 divided by its reverse (202) gives a cube (1000 = 10³).

It can be divided in two parts, 20 and 2000, that multiplied together give a square (40000 = 200²).

The spelling of 202000 in words is "two hundred two thousand", and thus it is an iban number.