220514382 has 48 divisors (see below), whose sum is σ = 522570672. Its totient is φ = 66648960.

The previous prime is 220514381. The next prime is 220514401. The reversal of 220514382 is 283415022.

220514382 is a `hidden beast` number, since 220 + 5 + 1 + 438 + 2 = 666.

220514382 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220514381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89268 + ... + 91704.

It is an arithmetic number, because the mean of its divisors is an integer number (10886889).

Almost surely, 2^220514382 is an apocalyptic number.

220514382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220514382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261285336).

220514382 is an abundant number, since it is smaller than the sum of its proper divisors (302056290).

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

220514382 is a wasteful number, since it uses less digits than its factorization.

220514382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 220514382 is about 14849.7266641511. The cubic root of 220514382 is about 604.1511963781.

It can be divided in two parts, 2205143 and 82, that added together give a square (2205225 = 1485²).

The spelling of 220514382 in words is "two hundred twenty million, five hundred fourteen thousand, three hundred eighty-two".