221936652 has 192 divisors, whose sum is σ = 696729600. Its totient is φ = 59754240.

The previous prime is 221936651. The next prime is 221936669. The reversal of 221936652 is 256639122.

221936652 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (221936651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1161877 + ... + 1162067.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2^221936652 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 221936652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

221936652 is an abundant number, since it is smaller than the sum of its proper divisors (474792948).

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

221936652 is a wasteful number, since it uses less digits than its factorization.

221936652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 221936652 is about 14897.5384543890. The cubic root of 221936652 is about 605.4472952921.

The spelling of 221936652 in words is "two hundred twenty-one million, nine hundred thirty-six thousand, six hundred fifty-two".