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224324401 = 731723173
BaseRepresentation
bin11010101111011…
…10101100110001
3120122002212020011
431113232230301
5424411340101
634132014521
75362504000
oct1527565461
9518085204
10224324401
11105697274
1263161441
1337622b42
1421b14c37
1514a61751
hexd5eeb31

224324401 has 48 divisors (see below), whose sum is σ = 290790400. Its totient is φ = 172730880.

The previous prime is 224324383. The next prime is 224324423. The reversal of 224324401 is 104423422.

It is a happy number.

It is not a de Polignac number, because 224324401 - 25 = 224324369 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224324501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3072901 + ... + 3072973.

Almost surely, 2224324401 is an apocalyptic number.

It is an amenable number.

224324401 is a deficient number, since it is larger than the sum of its proper divisors (66465999).

224324401 is an equidigital number, since it uses as much as digits as its factorization.

224324401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 224324401 is about 14977.4631029424. The cubic root of 224324401 is about 607.6108293001.

Adding to 224324401 its reverse (104423422), we get a palindrome (328747823).

The spelling of 224324401 in words is "two hundred twenty-four million, three hundred twenty-four thousand, four hundred one".

Divisors: 1 7 17 31 49 73 119 217 289 343 511 527 833 1241 1519 2023 2263 3577 3689 5831 8687 8959 10633 14161 15841 21097 25039 25823 38471 60809 62713 99127 110887 147679 180761 269297 425663 438991 654007 776209 1033753 1885079 3072937 4578049 7236271 13195553 32046343 224324401