220301424 has 160 divisors (see below), whose sum is σ = 728048640. Its totient is φ = 62477568.

The previous prime is 220301423. The next prime is 220301449. The reversal of 220301424 is 424103022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220301397 and 220301406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220301423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795174 + ... + 795450.

It is an arithmetic number, because the mean of its divisors is an integer number (4550304).

Almost surely, 2^220301424 is an apocalyptic number.

220301424 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 220301424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364024320).

220301424 is an abundant number, since it is smaller than the sum of its proper divisors (507747216).

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

220301424 is a wasteful number, since it uses less digits than its factorization.

220301424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220301424 is about 14842.5544971208. The cubic root of 220301424 is about 603.9566508368.

Adding to 220301424 its reverse (424103022), we get a palindrome (644404446).

The spelling of 220301424 in words is "two hundred twenty million, three hundred one thousand, four hundred twenty-four".