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221201431 = 1122397649
BaseRepresentation
bin11010010111101…
…00010000010111
3120102020012022121
431023310100113
5423111421211
633541040411
75324116063
oct1513642027
9512205277
10221201431
11103953a00
12620b6107
1336a9b529
1421540aa3
1514646271
hexd2f4417

221201431 has 12 divisors (see below), whose sum is σ = 244188000. Its totient is φ = 200224640.

The previous prime is 221201369. The next prime is 221201447. The reversal of 221201431 is 134102122.

221201431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221201431 - 211 = 221199383 is a prime.

It is a super-2 number, since 2×2212014312 = 97860146152895522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221201131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25095 + ... + 32743.

It is an arithmetic number, because the mean of its divisors is an integer number (20349000).

Almost surely, 2221201431 is an apocalyptic number.

221201431 is a deficient number, since it is larger than the sum of its proper divisors (22986569).

221201431 is a wasteful number, since it uses less digits than its factorization.

221201431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7910 (or 7899 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 221201431 is about 14872.8420619598. The cubic root of 221201431 is about 604.7779901669. Note that the first 3 decimals are identical.

Adding to 221201431 its reverse (134102122), we get a palindrome (355303553).

The spelling of 221201431 in words is "two hundred twenty-one million, two hundred one thousand, four hundred thirty-one".

Divisors: 1 11 121 239 2629 7649 28919 84139 925529 1828111 20109221 221201431