224611220 has 24 divisors (see below), whose sum is σ = 477657600. Its totient is φ = 88706592.

The previous prime is 224611193. The next prime is 224611237. The reversal of 224611220 is 22116422.

224611220 = T₂₃₄₅ + T₂₃₄₆ + ... + T₂₄₂₃.

It is a happy number.

224611220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224611192 and 224611201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69500 + ... + 72659.

It is an arithmetic number, because the mean of its divisors is an integer number (19902400).

Almost surely, 2^224611220 is an apocalyptic number.

224611220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224611220 is an abundant number, since it is smaller than the sum of its proper divisors (253046380).

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

224611220 is a wasteful number, since it uses less digits than its factorization.

224611220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142247 (or 142245 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 224611220 is about 14987.0350636809. The cubic root of 224611220 is about 607.8696807777.

Adding to 224611220 its reverse (22116422), we get a palindrome (246727642).

The spelling of 224611220 in words is "two hundred twenty-four million, six hundred eleven thousand, two hundred twenty".