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221411313 = 3419473061
BaseRepresentation
bin11010011001001…
…11011111110001
3120102121212020000
431030213133301
5423140130223
633545340213
75325652014
oct1514473761
9512555200
10221411313
11103a87662
1262197669
1336b42c16
142159737b
1514688543
hexd3277f1

221411313 has 40 divisors (see below), whose sum is σ = 355681920. Its totient is φ = 136818720.

The previous prime is 221411303. The next prime is 221411321. The reversal of 221411313 is 313114122.

221411313 is a `hidden beast` number, since 221 + 411 + 31 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-221411313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221411303) 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 39 ways as a sum of consecutive naturals, for example, 70803 + ... + 73863.

It is an arithmetic number, because the mean of its divisors is an integer number (8892048).

Almost surely, 2221411313 is an apocalyptic number.

It is an amenable number.

221411313 is a deficient number, since it is larger than the sum of its proper divisors (134270607).

221411313 is a wasteful number, since it uses less digits than its factorization.

221411313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3130 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 221411313 is about 14879.8962697997. The cubic root of 221411313 is about 604.9692063647.

Adding to 221411313 its reverse (313114122), we get a palindrome (534525435).

The spelling of 221411313 in words is "two hundred twenty-one million, four hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 9 19 27 47 57 81 141 171 423 513 893 1269 1539 2679 3061 3807 8037 9183 24111 27549 58159 72333 82647 143867 174477 247941 431601 523431 1294803 1570293 2733473 3884409 4710879 8200419 11653227 24601257 73803771 221411313