201826200 has 96 divisors (see below), whose sum is σ = 628531200. Its totient is φ = 53573760.

The previous prime is 201826199. The next prime is 201826211. The reversal of 201826200 is 2628102.

201826200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

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, 157161 + ... + 158439.

It is an arithmetic number, because the mean of its divisors is an integer number (6547200).

Almost surely, 2^201826200 is an apocalyptic number.

201826200 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 201826200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314265600).

201826200 is an abundant number, since it is smaller than the sum of its proper divisors (426705000).

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

201826200 is a wasteful number, since it uses less digits than its factorization.

201826200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 201826200 is about 14206.5548251503. The cubic root of 201826200 is about 586.5781044575.

It can be divided in two parts, 201 and 826200, that multiplied together give a triangular number (166066200 = T₁₈₂₂₄).

The spelling of 201826200 in words is "two hundred one million, eight hundred twenty-six thousand, two hundred".