Search a number
-
+
225230212332111 = 37374191051658247
BaseRepresentation
bin110011001101100001111110…
…110011000111101001001111
31002112110210112202022212102010
4303031201332303013221033
5214010132433324111421
62115005155305232303
765304226424543520
oct6315417663075117
91075423482285363
10225230212332111
1165846662138358
122131715a492693
13988a16c00261c
143d892b4026847
151b08b4c188076
hexccd87ecc7a4f

225230212332111 has 64 divisors (see below), whose sum is σ = 353661800325120. Its totient is φ = 124806601180800.

The previous prime is 225230212332101. The next prime is 225230212332119. The reversal of 225230212332111 is 111233212032522.

It is not a de Polignac number, because 225230212332111 - 25 = 225230212332079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225230212332119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341837590 + ... + 342495836.

It is an arithmetic number, because the mean of its divisors is an integer number (5525965630080).

Almost surely, 2225230212332111 is an apocalyptic number.

225230212332111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

225230212332111 is a deficient number, since it is larger than the sum of its proper divisors (128431587993009).

225230212332111 is a wasteful number, since it uses less digits than its factorization.

225230212332111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659764.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 225230212332111 its reverse (111233212032522), we get a palindrome (336463424364633).

The spelling of 225230212332111 in words is "two hundred twenty-five trillion, two hundred thirty billion, two hundred twelve million, three hundred thirty-two thousand, one hundred eleven".

Divisors: 1 3 7 21 37 111 259 419 777 1051 1257 2933 3153 7357 8799 15503 22071 38887 46509 108521 116661 272209 325563 440369 658247 816627 1321107 1974741 3082583 4607729 9247749 13823187 16293653 24355139 48880959 73065417 114055571 170485973 275805493 342166713 511457919 691817597 827416479 1930638451 2075452791 4842723179 5791915353 10204803241 14528169537 25597251089 30614409723 71433622687 76791753267 179180757623 214300868061 289871573143 537542272869 869614719429 2029101012001 6087303036003 10725248206291 32175744618873 75076737444037 225230212332111