201834752 has 144 divisors (see below), whose sum is σ = 494484480. Its totient is φ = 80357376.

The previous prime is 201834691. The next prime is 201834757. The reversal of 201834752 is 257438102.

It is a super-2 number, since 2×201834752² = 81474534229803008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (201834757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431703 + ... + 2431785.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2^201834752 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 201834752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

201834752 is an abundant number, since it is smaller than the sum of its proper divisors (292649728).

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

201834752 is an equidigital number, since it uses as much as digits as its factorization.

201834752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 201834752 is about 14206.8558097842. The cubic root of 201834752 is about 586.5863893830.

The spelling of 201834752 in words is "two hundred one million, eight hundred thirty-four thousand, seven hundred fifty-two".