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223827201 = 321319107941
BaseRepresentation
bin11010101011101…
…01010100000001
3120121011121012100
431111311110001
5424244432301
634113221013
75355333303
oct1525652401
9517147170
10223827201
11105387764
1262b61769
13374aa740
1421a25973
15149b4286
hexd575501

223827201 has 48 divisors (see below), whose sum is σ = 370319040. Its totient is φ = 129133440.

The previous prime is 223827193. The next prime is 223827217. The reversal of 223827201 is 102728322.

It is a happy number.

It is not a de Polignac number, because 223827201 - 23 = 223827193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (223827251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237391 + ... + 238331.

It is an arithmetic number, because the mean of its divisors is an integer number (7714980).

Almost surely, 2223827201 is an apocalyptic number.

It is an amenable number.

223827201 is a deficient number, since it is larger than the sum of its proper divisors (146491839).

223827201 is a wasteful number, since it uses less digits than its factorization.

223827201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 223827201 is about 14960.8556239274. The cubic root of 223827201 is about 607.1615876719.

The spelling of 223827201 in words is "two hundred twenty-three million, eight hundred twenty-seven thousand, two hundred one".

Divisors: 1 3 9 13 19 39 57 107 117 171 247 321 741 941 963 1391 2033 2223 2823 4173 6099 8469 12233 12519 17879 18297 26429 36699 53637 79287 100687 110097 160911 232427 237861 302061 697281 906183 1308931 1913053 2091843 3926793 5739159 11780379 17217477 24869689 74609067 223827201