217225734 has 36 divisors (see below), whose sum is σ = 478412172. Its totient is φ = 65705640.

The previous prime is 217225733. The next prime is 217225739. The reversal of 217225734 is 437522712.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 217225695 and 217225704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217225733) 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 17 ways as a sum of consecutive naturals, for example, 396849 + ... + 397395.

It is an arithmetic number, because the mean of its divisors is an integer number (13289227).

Almost surely, 2^217225734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217225734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239206086).

217225734 is an abundant number, since it is smaller than the sum of its proper divisors (261186438).

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

217225734 is an equidigital number, since it uses as much as digits as its factorization.

217225734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 563 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 217225734 is about 14738.5797823264. The cubic root of 217225734 is about 601.1327988210.

The spelling of 217225734 in words is "two hundred seventeen million, two hundred twenty-five thousand, seven hundred thirty-four".