221129448 has 64 divisors (see below), whose sum is σ = 600729600. Its totient is φ = 67573440.

The previous prime is 221129369. The next prime is 221129449. The reversal of 221129448 is 844921122.

221129448 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 not an unprimeable number, because it can be changed into a prime (221129449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6315 + ... + 21957.

It is an arithmetic number, because the mean of its divisors is an integer number (9386400).

Almost surely, 2^221129448 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 221129448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300364800).

221129448 is an abundant number, since it is smaller than the sum of its proper divisors (379600152).

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

221129448 is a wasteful number, since it uses less digits than its factorization.

221129448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15702 (or 15698 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 221129448 is about 14870.4219173499. The cubic root of 221129448 is about 604.7123811020.

The spelling of 221129448 in words is "two hundred twenty-one million, one hundred twenty-nine thousand, four hundred forty-eight".