201283264 has 224 divisors, whose sum is σ = 553029120. Its totient is φ = 70336512.

The previous prime is 201283261. The next prime is 201283267. The reversal of 201283264 is 462382102.

It is an interprime number because it is at equal distance from previous prime (201283261) and next prime (201283267).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (201283261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881099 + ... + 1881205.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^201283264 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 201283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

201283264 is an abundant number, since it is smaller than the sum of its proper divisors (351745856).

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

201283264 is a wasteful number, since it uses less digits than its factorization.

201283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 201283264 is about 14187.4333126186. The cubic root of 201283264 is about 586.0516442737.

The spelling of 201283264 in words is "two hundred one million, two hundred eighty-three thousand, two hundred sixty-four".