220204432 has 60 divisors (see below), whose sum is σ = 499742940. Its totient is φ = 93719808.

The previous prime is 220204409. The next prime is 220204459. The reversal of 220204432 is 234402022.

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 73891216 = 12096^2 + 8596^2 .

It is a super-3 number, since 3×220204432³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122194 + ... + 123982.

It is an arithmetic number, because the mean of its divisors is an integer number (8329049).

Almost surely, 2^220204432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249871470).

220204432 is an abundant number, since it is smaller than the sum of its proper divisors (279538508).

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

220204432 is a wasteful number, since it uses less digits than its factorization.

220204432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 220204432 is about 14839.2867753137. The cubic root of 220204432 is about 603.8680032597.

Adding to 220204432 its reverse (234402022), we get a palindrome (454606454).

The spelling of 220204432 in words is "two hundred twenty million, two hundred four thousand, four hundred thirty-two".