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221133006 = 23212285167
BaseRepresentation
bin11010010111000…
…11100011001110
3120102002201110100
431023203203032
5423102224011
633535351530
75323412433
oct1513434316
9512081410
10221133006
11103907556
12620825a6
1336a76343
1421523b8a
1514630d56
hexd2e38ce

221133006 has 12 divisors (see below), whose sum is σ = 479121552. Its totient is φ = 73710996.

The previous prime is 221132993. The next prime is 221133061. The reversal of 221133006 is 600331122.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12285167 = 221133006 / (2 + 2 + 1 + 1 + 3 + 3 + 0 + 0 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 221133006.

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, 6142566 + ... + 6142601.

It is an arithmetic number, because the mean of its divisors is an integer number (39926796).

Almost surely, 2221133006 is an apocalyptic number.

221133006 is an abundant number, since it is smaller than the sum of its proper divisors (257988546).

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

221133006 is a wasteful number, since it uses less digits than its factorization.

221133006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285175 (or 12285172 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 221133006 is about 14870.5415503269. The cubic root of 221133006 is about 604.7156243835.

Adding to 221133006 its reverse (600331122), we get a palindrome (821464128).

The spelling of 221133006 in words is "two hundred twenty-one million, one hundred thirty-three thousand, six".

Divisors: 1 2 3 6 9 18 12285167 24570334 36855501 73711002 110566503 221133006