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224142200 = 23521120711
BaseRepresentation
bin11010101110000…
…10001101111000
3120121202121021222
431113002031320
5424340022300
634124051212
75361114542
oct1527021570
9517677258
10224142200
11105582397
1263093b08
133758ac29
1421aa8692
1514a27785
hexd5c2378

224142200 has 24 divisors (see below), whose sum is σ = 521131080. Its totient is φ = 89656800.

The previous prime is 224142181. The next prime is 224142211. The reversal of 224142200 is 2241422.

It is a happy number.

224142200 is digitally balanced in base 2, 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 5 ways as a sum of consecutive naturals, for example, 560156 + ... + 560555.

It is an arithmetic number, because the mean of its divisors is an integer number (21713795).

Almost surely, 2224142200 is an apocalyptic number.

224142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224142200 is an abundant number, since it is smaller than the sum of its proper divisors (296988880).

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

224142200 is a wasteful number, since it uses less digits than its factorization.

224142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120727 (or 1120718 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 224142200 is about 14971.3793619693. The cubic root of 224142200 is about 607.4462799738.

Adding to 224142200 its reverse (2241422), we get a palindrome (226383622).

Multiplying 224142200 by its reverse (2241422), we get a square (502397258208400 = 224142202).

224142200 divided by its reverse (2241422) gives a square (100 = 102).

The spelling of 224142200 in words is "two hundred twenty-four million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1120711 2241422 4482844 5603555 8965688 11207110 22414220 28017775 44828440 56035550 112071100 224142200