220741224 has 64 divisors (see below), whose sum is σ = 603348480. Its totient is φ = 66744000.

The previous prime is 220741207. The next prime is 220741229. The reversal of 220741224 is 422147022.

It is a super-3 number, since 3×220741224³ (a number of 26 digits) contains 333 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 = 220741194 and 220741203.

It is not an unprimeable number, because it can be changed into a prime (220741229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213589 + ... + 214619.

It is an arithmetic number, because the mean of its divisors is an integer number (9427320).

Almost surely, 2^220741224 is an apocalyptic number.

220741224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220741224 is an abundant number, since it is smaller than the sum of its proper divisors (382607256).

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

220741224 is a wasteful number, since it uses less digits than its factorization.

220741224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 220741224 is about 14857.3626192538. The cubic root of 220741224 is about 604.3582877828.

Adding to 220741224 its reverse (422147022), we get a palindrome (642888246).

The spelling of 220741224 in words is "two hundred twenty million, seven hundred forty-one thousand, two hundred twenty-four".