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220541424 = 24317532621
BaseRepresentation
bin11010010010100…
…11000111110000
3120100222122221220
431021103013300
5422424311144
633514545040
75315366625
oct1511230760
9510878856
10220541424
11103543044
1261a38180
13368c9cac
142140c34c
1514565919
hexd2531f0

220541424 has 40 divisors (see below), whose sum is σ = 570274512. Its totient is φ = 73443840.

The previous prime is 220541381. The next prime is 220541467. The reversal of 220541424 is 424145022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220541381) and next prime (220541467).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 220541394 and 220541403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82834 + ... + 85454.

Almost surely, 2220541424 is an apocalyptic number.

220541424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220541424 is an abundant number, since it is smaller than the sum of its proper divisors (349733088).

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

220541424 is a wasteful number, since it uses less digits than its factorization.

220541424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 220541424 is about 14850.6371580481. The cubic root of 220541424 is about 604.1758913492.

Adding to 220541424 its reverse (424145022), we get a palindrome (644686446).

The spelling of 220541424 in words is "two hundred twenty million, five hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1753 2621 3506 5242 5259 7012 7863 10484 10518 14024 15726 20968 21036 28048 31452 41936 42072 62904 84144 125808 4594613 9189226 13783839 18378452 27567678 36756904 55135356 73513808 110270712 220541424