201415032 has 128 divisors (see below), whose sum is σ = 688665600. Its totient is φ = 53115264.

The previous prime is 201415009. The next prime is 201415033. The reversal of 201415032 is 230514102.

201415032 is a `hidden beast` number, since 20 + 141 + 503 + 2 = 666.

201415032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201415032² = 81136030231122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201414996 and 201415014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201415033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14533 + ... + 24779.

It is an arithmetic number, because the mean of its divisors is an integer number (5380200).

Almost surely, 2^201415032 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 201415032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344332800).

201415032 is an abundant number, since it is smaller than the sum of its proper divisors (487250568).

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

201415032 is a wasteful number, since it uses less digits than its factorization.

201415032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10282 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201415032 is about 14192.0763808542. The cubic root of 201415032 is about 586.1795005869.

Adding to 201415032 its reverse (230514102), we get a palindrome (431929134).

The spelling of 201415032 in words is "two hundred one million, four hundred fifteen thousand, thirty-two".