220112640 has 360 divisors, whose sum is σ = 863655408. Its totient is φ = 53084160.

The previous prime is 220112623. The next prime is 220112647. The reversal of 220112640 is 46211022.

220112640 is a `hidden beast` number, since 2 + 20 + 1 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220112647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140384 + ... + 1140576.

Almost surely, 2^220112640 is an apocalyptic number.

220112640 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 220112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431827704).

220112640 is an abundant number, since it is smaller than the sum of its proper divisors (643542768).

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

220112640 is a wasteful number, since it uses less digits than its factorization.

220112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220112640 is about 14836.1935819131. The cubic root of 220112640 is about 603.7840843379.

Adding to 220112640 its reverse (46211022), we get a palindrome (266323662).

It can be divided in two parts, 2201 and 12640, that added together give a palindrome (14841).

The spelling of 220112640 in words is "two hundred twenty million, one hundred twelve thousand, six hundred forty".