220134024 has 160 divisors (see below), whose sum is σ = 682149600. Its totient is φ = 65767680.

The previous prime is 220134001. The next prime is 220134067. The reversal of 220134024 is 420431022.

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 = 220133988 and 220134006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 634219 + ... + 634565.

It is an arithmetic number, because the mean of its divisors is an integer number (4263435).

Almost surely, 2^220134024 is an apocalyptic number.

220134024 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 220134024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341074800).

220134024 is an abundant number, since it is smaller than the sum of its proper divisors (462015576).

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

220134024 is a wasteful number, since it uses less digits than its factorization.

220134024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

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

The square root of 220134024 is about 14836.9142344357. The cubic root of 220134024 is about 603.8036362981.

Adding to 220134024 its reverse (420431022), we get a palindrome (640565046).

The spelling of 220134024 in words is "two hundred twenty million, one hundred thirty-four thousand, twenty-four".