201248832 has 56 divisors (see below), whose sum is σ = 535505152. Its totient is φ = 66700800.

The previous prime is 201248797. The next prime is 201248837. The reversal of 201248832 is 238842102.

201248832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201248832.

It is not an unprimeable number, because it can be changed into a prime (201248837) 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, 31857 + ... + 37647.

It is an arithmetic number, because the mean of its divisors is an integer number (9562592).

Almost surely, 2^201248832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267752576).

201248832 is an abundant number, since it is smaller than the sum of its proper divisors (334256320).

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

201248832 is a wasteful number, since it uses less digits than its factorization.

201248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 201248832 is about 14186.2197924606. The cubic root of 201248832 is about 586.0182252327.

The spelling of 201248832 in words is "two hundred one million, two hundred forty-eight thousand, eight hundred thirty-two".