221406696 has 240 divisors, whose sum is σ = 761428800. Its totient is φ = 59766336.

The previous prime is 221406673. The next prime is 221406701. The reversal of 221406696 is 696604122.

221406696 is digitally balanced in base 2 and base 3, because in such bases 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 221406696.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 603105 + ... + 603471.

It is an arithmetic number, because the mean of its divisors is an integer number (3172620).

Almost surely, 2^221406696 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 221406696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380714400).

221406696 is an abundant number, since it is smaller than the sum of its proper divisors (540022104).

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

221406696 is a wasteful number, since it uses less digits than its factorization.

221406696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 221406696 is about 14879.7411267804. The cubic root of 221406696 is about 604.9650012766.

The spelling of 221406696 in words is "two hundred twenty-one million, four hundred six thousand, six hundred ninety-six".