Search a number
-
+
223212381 = 3729336277
BaseRepresentation
bin11010100110111…
…11001101011101
3120120000100211020
431103133031131
5424120244011
634052114353
75350162650
oct1523371535
9516010736
10223212381
11104aa7847
12629059b9
1337323942
1421905897
15148e2006
hexd4df35d

223212381 has 16 divisors (see below), whose sum is σ = 341303424. Its totient is φ = 127111104.

The previous prime is 223212349. The next prime is 223212419. The reversal of 223212381 is 183212322.

It is a happy number.

It is not a de Polignac number, because 223212381 - 25 = 223212349 is a prime.

It is a super-3 number, since 3×2232123813 (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 (223212331) 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, 11986 + ... + 24291.

It is an arithmetic number, because the mean of its divisors is an integer number (21331464).

Almost surely, 2223212381 is an apocalyptic number.

223212381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

223212381 is a deficient number, since it is larger than the sum of its proper divisors (118091043).

223212381 is a wasteful number, since it uses less digits than its factorization.

223212381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36580.

The product of its digits is 1152, while the sum is 24.

The square root of 223212381 is about 14940.2938726117. The cubic root of 223212381 is about 606.6051503793.

The spelling of 223212381 in words is "two hundred twenty-three million, two hundred twelve thousand, three hundred eighty-one".

Divisors: 1 3 7 21 293 879 2051 6153 36277 108831 253939 761817 10629161 31887483 74404127 223212381