221350896 has 240 divisors, whose sum is σ = 716579136. Its totient is φ = 63258624.

The previous prime is 221350879. The next prime is 221350907. The reversal of 221350896 is 698053122.

221350896 is a `hidden beast` number, since 221 + 350 + 89 + 6 = 666.

221350896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221350896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2281920 + ... + 2282016.

Almost surely, 2^221350896 is an apocalyptic number.

221350896 is a gapful number since it is divisible by the number (26) 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 221350896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358289568).

221350896 is an abundant number, since it is smaller than the sum of its proper divisors (495228240).

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

221350896 is a wasteful number, since it uses less digits than its factorization.

221350896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 221350896 is about 14877.8659760061. The cubic root of 221350896 is about 604.9141749256.

The spelling of 221350896 in words is "two hundred twenty-one million, three hundred fifty thousand, eight hundred ninety-six".