224221120434 has 64 divisors (see below), whose sum is σ = 521391530880. Its totient is φ = 71348247360.

The previous prime is 224221120411. The next prime is 224221120447. The reversal of 224221120434 is 434021122422.

It is a happy number.

224221120434 is a `hidden beast` number, since 2 + 2 + 4 + 221 + 1 + 2 + 0 + 434 = 666.

It is a super-2 number, since 2×224221120434² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224221120398 and 224221120407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952812 + ... + 1164599.

It is an arithmetic number, because the mean of its divisors is an integer number (8146742670).

Almost surely, 2^224221120434 is an apocalyptic number.

224221120434 is an abundant number, since it is smaller than the sum of its proper divisors (297170410446).

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

224221120434 is a wasteful number, since it uses less digits than its factorization.

224221120434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117512 (or 2117506 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 224221120434 its reverse (434021122422), we get a palindrome (658242242856).

The spelling of 224221120434 in words is "two hundred twenty-four billion, two hundred twenty-one million, one hundred twenty thousand, four hundred thirty-four".