221069088 has 240 divisors, whose sum is σ = 716257080. Its totient is φ = 66576384.

The previous prime is 221069081. The next prime is 221069119. The reversal of 221069088 is 880960122.

221069088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 221057424 + 11664 = 14868^2 + 108^2 .

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 (221069081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1277770 + ... + 1277942.

Almost surely, 2^221069088 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 221069088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358128540).

221069088 is an abundant number, since it is smaller than the sum of its proper divisors (495187992).

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

221069088 is a wasteful number, since it uses less digits than its factorization.

221069088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 221069088 is about 14868.3922466419. The cubic root of 221069088 is about 604.6573548700.

The spelling of 221069088 in words is "two hundred twenty-one million, sixty-nine thousand, eighty-eight".