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223201381 = 13179971013
BaseRepresentation
bin11010100110111…
…00100001100101
3120112222210201211
431103130201211
5424114421011
634051551421
75350115614
oct1523344145
9515883654
10223201381
11104a9a557
12628bb571
133731b930
142190187b
15148ddb21
hexd4dc865

223201381 has 16 divisors (see below), whose sum is σ = 255016944. Its totient is φ = 193526784.

The previous prime is 223201367. The next prime is 223201393. The reversal of 223201381 is 183102322.

223201381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10304100 + 212897281 = 3210^2 + 14591^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223201381 is a prime.

It is a super-3 number, since 3×2232013813 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223201301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219831 + ... + 220843.

It is an arithmetic number, because the mean of its divisors is an integer number (15938559).

Almost surely, 2223201381 is an apocalyptic number.

It is an amenable number.

223201381 is a deficient number, since it is larger than the sum of its proper divisors (31815563).

223201381 is a wasteful number, since it uses less digits than its factorization.

223201381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 223201381 is about 14939.9257360939. The cubic root of 223201381 is about 606.5951856300.

The spelling of 223201381 in words is "two hundred twenty-three million, two hundred one thousand, three hundred eighty-one".

Divisors: 1 13 17 221 997 1013 12961 13169 16949 17221 220337 223873 1009961 13129493 17169337 223201381