Search a number
-
+
226531611030 = 23519761522239
BaseRepresentation
bin1101001011111001010…
…1100001000110010110
3210122201101012011122210
43102332111201012112
512202414043023110
6252022302334250
722236443631444
oct3227625410626
9718641164583
10226531611030
118808720926a
1237aa0b8a386
1318491c64cba
14ad6da39b94
155d5c837520
hex34be561196

226531611030 has 64 divisors (see below), whose sum is σ = 573043507200. Its totient is φ = 57153726720.

The previous prime is 226531610999. The next prime is 226531611037. The reversal of 226531611030 is 30116135622.

226531611030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226531611037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172651 + ... + 694889.

It is an arithmetic number, because the mean of its divisors is an integer number (8953804800).

Almost surely, 2226531611030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226531611030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286521753600).

226531611030 is an abundant number, since it is smaller than the sum of its proper divisors (346511896170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226531611030 is a wasteful number, since it uses less digits than its factorization.

226531611030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523029.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 226531611030 its reverse (30116135622), we get a palindrome (256647746652).

The spelling of 226531611030 in words is "two hundred twenty-six billion, five hundred thirty-one million, six hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 761 1522 2283 3805 4566 7610 11415 14459 22830 28918 43377 72295 86754 144590 216885 433770 522239 1044478 1566717 2611195 3133434 5222390 7833585 9922541 15667170 19845082 29767623 49612705 59535246 99225410 148838115 297676230 397423879 794847758 1192271637 1987119395 2384543274 3974238790 5961358185 7551053701 11922716370 15102107402 22653161103 37755268505 45306322206 75510537010 113265805515 226531611030