201076224 has 80 divisors (see below), whose sum is σ = 541044240. Its totient is φ = 66355200.

The previous prime is 201076217. The next prime is 201076229. The reversal of 201076224 is 422670102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 201076194 and 201076203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201076229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 166824 + ... + 168024.

It is an arithmetic number, because the mean of its divisors is an integer number (6763053).

Almost surely, 2^201076224 is an apocalyptic number.

201076224 is a gapful number since it is divisible by the number (24) 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 201076224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270522120).

201076224 is an abundant number, since it is smaller than the sum of its proper divisors (339968016).

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

201076224 is a wasteful number, since it uses less digits than its factorization.

201076224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 201076224 is about 14180.1348371586. The cubic root of 201076224 is about 585.8506377321.

The spelling of 201076224 in words is "two hundred one million, seventy-six thousand, two hundred twenty-four".