221734350 has 72 divisors (see below), whose sum is σ = 599905800. Its totient is φ = 58714560.

The previous prime is 221734343. The next prime is 221734367. The reversal of 221734350 is 53437122.

221734350 is a `hidden beast` number, since 221 + 7 + 3 + 435 + 0 = 666.

It is a super-2 number, since 2×221734350² = 98332243939845000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 65397 + ... + 68703.

It is an arithmetic number, because the mean of its divisors is an integer number (8332025).

Almost surely, 2^221734350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221734350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299952900).

221734350 is an abundant number, since it is smaller than the sum of its proper divisors (378171450).

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

221734350 is a wasteful number, since it uses less digits than its factorization.

221734350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 221734350 is about 14890.7471269913. The cubic root of 221734350 is about 605.2632781680.

The spelling of 221734350 in words is "two hundred twenty-one million, seven hundred thirty-four thousand, three hundred fifty".