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224320520 = 2355608013
BaseRepresentation
bin11010101111011…
…01110000001000
3120122002122220102
431113231300020
5424411224040
634131544532
75362456454
oct1527556010
9518078812
10224320520
11105694366
126315b148
1337621148
1421b13664
1514a60515
hexd5edc08

224320520 has 16 divisors (see below), whose sum is σ = 504721260. Its totient is φ = 89728192.

The previous prime is 224320513. The next prime is 224320609. The reversal of 224320520 is 25023422.

224320520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 180257476 + 44063044 = 13426^2 + 6638^2 .

It is a super-3 number, since 3×2243205203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224320492 and 224320501.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2803967 + ... + 2804046.

Almost surely, 2224320520 is an apocalyptic number.

224320520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224320520 is an abundant number, since it is smaller than the sum of its proper divisors (280400740).

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

224320520 is a wasteful number, since it uses less digits than its factorization.

224320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608024 (or 5608020 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 224320520 is about 14977.3335410546. Note that the first 3 decimals coincide. The cubic root of 224320520 is about 607.6073252211.

Adding to 224320520 its reverse (25023422), we get a palindrome (249343942).

The spelling of 224320520 in words is "two hundred twenty-four million, three hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5608013 11216026 22432052 28040065 44864104 56080130 112160260 224320520