221034264 has 64 divisors (see below), whose sum is σ = 604800000. Its totient is φ = 66760320.

The previous prime is 221034257. The next prime is 221034269. The reversal of 221034264 is 462430122.

221034264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×221034264³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221034269) 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, 90937 + ... + 93335.

It is an arithmetic number, because the mean of its divisors is an integer number (9450000).

Almost surely, 2^221034264 is an apocalyptic number.

221034264 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 221034264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400000).

221034264 is an abundant number, since it is smaller than the sum of its proper divisors (383765736).

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

221034264 is a wasteful number, since it uses less digits than its factorization.

221034264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 221034264 is about 14867.2211256845. The cubic root of 221034264 is about 604.6256035690.

Adding to 221034264 its reverse (462430122), we get a palindrome (683464386).

The spelling of 221034264 in words is "two hundred twenty-one million, thirty-four thousand, two hundred sixty-four".