221441101224 has 256 divisors, whose sum is σ = 654665932800. Its totient is φ = 61111646208.

The previous prime is 221441101187. The next prime is 221441101283. The reversal of 221441101224 is 422101144122.

It is a happy number.

It is a super-2 number, since 2×221441101224² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 221441101194 and 221441101203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393323167 + ... + 393323729.

It is an arithmetic number, because the mean of its divisors is an integer number (2557288800).

Almost surely, 2^221441101224 is an apocalyptic number.

221441101224 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 221441101224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327332966400).

221441101224 is an abundant number, since it is smaller than the sum of its proper divisors (433224831576).

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

221441101224 is a wasteful number, since it uses less digits than its factorization.

221441101224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 221441101224 its reverse (422101144122), we get a palindrome (643542245346).

The spelling of 221441101224 in words is "two hundred twenty-one billion, four hundred forty-one million, one hundred one thousand, two hundred twenty-four".