220512240 has 160 divisors (see below), whose sum is σ = 818072640. Its totient is φ = 54273024.

The previous prime is 220512217. The next prime is 220512283. The reversal of 220512240 is 42215022.

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

It is a congruent number.

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, 24154 + ... + 32006.

It is an arithmetic number, because the mean of its divisors is an integer number (5112954).

Almost surely, 2^220512240 is an apocalyptic number.

220512240 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 220512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409036320).

220512240 is an abundant number, since it is smaller than the sum of its proper divisors (597560400).

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

220512240 is a wasteful number, since it uses less digits than its factorization.

220512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 220512240 is about 14849.6545414363. The cubic root of 220512240 is about 604.1492402002.

Adding to 220512240 its reverse (42215022), we get a palindrome (262727262).

The spelling of 220512240 in words is "two hundred twenty million, five hundred twelve thousand, two hundred forty".