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224135440 = 2452801693
BaseRepresentation
bin11010101110000…
…00100100010000
3120121202021000121
431113000210100
5424334313230
634124000024
75361056044
oct1527004420
9517667017
10224135440
11105578301
1263090014
1337587b29
1421aa6024
1514a2577a
hexd5c0910

224135440 has 20 divisors (see below), whose sum is σ = 521115084. Its totient is φ = 89654144.

The previous prime is 224135399. The next prime is 224135447. The reversal of 224135440 is 44531422.

It is a happy number.

224135440 is digitally balanced in base 3, 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 56070144 + 168065296 = 7488^2 + 12964^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (224135447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1400767 + ... + 1400926.

Almost surely, 2224135440 is an apocalyptic number.

224135440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224135440 is an abundant number, since it is smaller than the sum of its proper divisors (296979644).

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

224135440 is a wasteful number, since it uses less digits than its factorization.

224135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801706 (or 2801700 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 224135440 is about 14971.1535961662. The cubic root of 224135440 is about 607.4401731688.

Adding to 224135440 its reverse (44531422), we get a palindrome (268666862).

The spelling of 224135440 in words is "two hundred twenty-four million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2801693 5603386 11206772 14008465 22413544 28016930 44827088 56033860 112067720 224135440