221412576 has 216 divisors, whose sum is σ = 745060680. Its totient is φ = 57361920.

The previous prime is 221412557. The next prime is 221412623. The reversal of 221412576 is 675214122.

221412576 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-4 number, since 4×221412576⁴ (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 568990 + ... + 569378.

It is an arithmetic number, because the mean of its divisors is an integer number (3449355).

Almost surely, 2^221412576 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 221412576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372530340).

221412576 is an abundant number, since it is smaller than the sum of its proper divisors (523648104).

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

221412576 is a wasteful number, since it uses less digits than its factorization.

221412576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 221412576 is about 14879.9387095512. The cubic root of 221412576 is about 604.9703566743.

Adding to 221412576 its reverse (675214122), we get a palindrome (896626698).

The spelling of 221412576 in words is "two hundred twenty-one million, four hundred twelve thousand, five hundred seventy-six".