220132040 has 64 divisors (see below), whose sum is σ = 517374000. Its totient is φ = 84188160.

The previous prime is 220132039. The next prime is 220132061. The reversal of 220132040 is 40231022.

It can be written as a sum of positive squares in 8 ways, for example, as 42016324 + 178115716 = 6482^2 + 13346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125570 + ... + 127310.

Almost surely, 2^220132040 is an apocalyptic number.

220132040 is a gapful number since it is divisible by the number (20) 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 220132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258687000).

220132040 is an abundant number, since it is smaller than the sum of its proper divisors (297241960).

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

220132040 is a wasteful number, since it uses less digits than its factorization.

220132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220132040 is about 14836.8473740212. The cubic root of 220132040 is about 603.8018223274.

Adding to 220132040 its reverse (40231022), we get a palindrome (260363062).

The spelling of 220132040 in words is "two hundred twenty million, one hundred thirty-two thousand, forty".