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224475820 = 225174116103
BaseRepresentation
bin11010110000100…
…11101010101100
3120122101112221021
431120103222230
5424431211240
634135143524
75364004312
oct1530235254
9518345837
10224475820
11105790008
1263214ba4
1337676a3a
1421b540b2
1514a9154a
hexd613aac

224475820 has 48 divisors (see below), whose sum is σ = 511334208. Its totient is φ = 82442240.

The previous prime is 224475817. The next prime is 224475821. The reversal of 224475820 is 28574422.

224475820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (224475821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5889 + ... + 21991.

It is an arithmetic number, because the mean of its divisors is an integer number (10652796).

Almost surely, 2224475820 is an apocalyptic number.

224475820 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 224475820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255667104).

224475820 is an abundant number, since it is smaller than the sum of its proper divisors (286858388).

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

224475820 is a wasteful number, since it uses less digits than its factorization.

224475820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16170 (or 16168 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 224475820 is about 14982.5171449927. The cubic root of 224475820 is about 607.7475110144.

The spelling of 224475820 in words is "two hundred twenty-four million, four hundred seventy-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 16103 32206 64412 80515 161030 273751 322060 547502 660223 1095004 1320446 1368755 2640892 2737510 3301115 5475020 6602230 11223791 13204460 22447582 44895164 56118955 112237910 224475820