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224419820 = 22511220991
BaseRepresentation
bin11010110000001…
…01111111101100
3120122021201010012
431120011333230
5424422413240
634134032352
75363352122
oct1530057754
9518251105
10224419820
11105751a29
12631a86b8
13376573c1
1421b3b912
1514a7eb65
hexd605fec

224419820 has 12 divisors (see below), whose sum is σ = 471281664. Its totient is φ = 89767920.

The previous prime is 224419817. The next prime is 224419829. The reversal of 224419820 is 28914422.

It is a happy number.

224419820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (224419829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5610476 + ... + 5610515.

It is an arithmetic number, because the mean of its divisors is an integer number (39273472).

Almost surely, 2224419820 is an apocalyptic number.

224419820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224419820 is an abundant number, since it is smaller than the sum of its proper divisors (246861844).

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

224419820 is a wasteful number, since it uses less digits than its factorization.

224419820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11221000 (or 11220998 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 224419820 is about 14980.6481835734. The cubic root of 224419820 is about 607.6969685385.

The spelling of 224419820 in words is "two hundred twenty-four million, four hundred nineteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 11220991 22441982 44883964 56104955 112209910 224419820