221769264 has 80 divisors (see below), whose sum is σ = 595720800. Its totient is φ = 71006208.

The previous prime is 221769241. The next prime is 221769269. The reversal of 221769264 is 462967122.

It is not an unprimeable number, because it can be changed into a prime (221769269) 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, 435442 + ... + 435950.

It is an arithmetic number, because the mean of its divisors is an integer number (7446510).

Almost surely, 2^221769264 is an apocalyptic number.

221769264 is a gapful number since it is divisible by the number (24) 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 221769264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297860400).

221769264 is an abundant number, since it is smaller than the sum of its proper divisors (373951536).

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

221769264 is a wasteful number, since it uses less digits than its factorization.

221769264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 856 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 221769264 is about 14891.9194196047. The cubic root of 221769264 is about 605.2950444881.

The spelling of 221769264 in words is "two hundred twenty-one million, seven hundred sixty-nine thousand, two hundred sixty-four".