201032000 has 112 divisors (see below), whose sum is σ = 536429712. Its totient is φ = 74188800.

The previous prime is 201031969. The next prime is 201032017. The reversal of 201032000 is 230102.

It can be written as a sum of positive squares in 8 ways, for example, as 85082176 + 115949824 = 9224^2 + 10768^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103034 + ... + 104966.

It is an arithmetic number, because the mean of its divisors is an integer number (4789551).

Almost surely, 2^201032000 is an apocalyptic number.

201032000 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 201032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268214856).

201032000 is an abundant number, since it is smaller than the sum of its proper divisors (335397712).

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

201032000 is a wasteful number, since it uses less digits than its factorization.

201032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 201032000 is about 14178.5753868292. The cubic root of 201032000 is about 585.8076846043.

Adding to 201032000 its reverse (230102), we get a palindrome (201262102).

The spelling of 201032000 in words is "two hundred one million, thirty-two thousand".