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224127420 = 2235111961293
BaseRepresentation
bin11010101101111…
…10100110111100
3120121201212000120
431112332212330
5424334034140
634123454540
75361023466
oct1526764674
9517655016
10224127420
11105572280
1263087450
133758429a
1421aa3136
1514a231d0
hexd5be9bc

224127420 has 192 divisors, whose sum is σ = 734952960. Its totient is φ = 50457600.

The previous prime is 224127419. The next prime is 224127467. The reversal of 224127420 is 24721422.

224127420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764794 + ... + 765086.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2224127420 is an apocalyptic number.

224127420 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 224127420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367476480).

224127420 is an abundant number, since it is smaller than the sum of its proper divisors (510825540).

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

224127420 is a wasteful number, since it uses less digits than its factorization.

224127420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 224127420 is about 14970.8857453392. The cubic root of 224127420 is about 607.4329279538.

Adding to 224127420 its reverse (24721422), we get a palindrome (248848842).

The spelling of 224127420 in words is "two hundred twenty-four million, one hundred twenty-seven thousand, four hundred twenty".