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224013140 = 22513861589
BaseRepresentation
bin11010101101000…
…10101101010100
3120121112001020222
431112202231110
5424321410030
634121213512
75360036351
oct1526425524
9517461228
10224013140
111054a442a
1263031298
1337544270
1421a73628
15149ee3e5
hexd5a2b54

224013140 has 24 divisors (see below), whose sum is σ = 506614920. Its totient is φ = 82712448.

The previous prime is 224013113. The next prime is 224013151. The reversal of 224013140 is 41310422.

224013140 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 4 ways, for example, as 22259524 + 201753616 = 4718^2 + 14204^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430535 + ... + 431054.

It is an arithmetic number, because the mean of its divisors is an integer number (21108955).

Almost surely, 2224013140 is an apocalyptic number.

224013140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224013140 is an abundant number, since it is smaller than the sum of its proper divisors (282601780).

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

224013140 is a wasteful number, since it uses less digits than its factorization.

224013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861611 (or 861609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 224013140 is about 14967.0685172481. The cubic root of 224013140 is about 607.3296693748.

Adding to 224013140 its reverse (41310422), we get a palindrome (265323562).

The spelling of 224013140 in words is "two hundred twenty-four million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 861589 1723178 3446356 4307945 8615890 11200657 17231780 22401314 44802628 56003285 112006570 224013140