Search a number
-
+
228007161208836 = 22321483216972
BaseRepresentation
bin110011110101111100001101…
…110110011010000000000100
31002220022021100002120001211100
4303311330031312122000010
5214341132131232140321
62124533013245140100
766011655002540562
oct6365741566320004
91086267302501740
10228007161208836
1166717326405829
12216a5394b5a630
139a2bca1994739
144043869642a32
151b55ec98ea326
hexcf5f0dd9a004

228007161208836 has 81 divisors (see below), whose sum is σ = 577080395246901. Its totient is φ = 75906381867264.

The previous prime is 228007161208831. The next prime is 228007161208859. The reversal of 228007161208836 is 638802161700822.

The square root of 228007161208836 is 15099906.

It is a perfect power (a square), and thus also a powerful number.

228007161208836 is a `hidden beast` number, since 2 + 280 + 0 + 71 + 61 + 208 + 8 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 219489262128900 + 8517899079936 = 14815170^2 + 2918544^2 .

It is not an unprimeable number, because it can be changed into a prime (228007161208831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134358962740 + ... + 134358964436.

Almost surely, 2228007161208836 is an apocalyptic number.

228007161208836 is the 15099906-th square number.

It is an amenable number.

228007161208836 is an abundant number, since it is smaller than the sum of its proper divisors (349073234038065).

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

228007161208836 is an frugal number, since it uses more digits than its factorization.

228007161208836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 228007161208836 in words is "two hundred twenty-eight trillion, seven billion, one hundred sixty-one million, two hundred eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 1483 1697 2966 3394 4449 5091 5932 6788 8898 10182 13347 15273 17796 20364 26694 30546 53388 61092 2199289 2516651 2879809 4398578 5033302 5759618 6597867 7549953 8639427 8797156 10066604 11519236 13195734 15099906 17278854 19793601 22649859 25918281 26391468 30199812 34557708 39587202 45299718 51836562 79174404 90599436 103673124 3732193433 4270756747 7464386866 8541513494 11196580299 12812270241 14928773732 17083026988 22393160598 25624540482 33589740897 38436810723 44786321196 51249080964 67179481794 76873621446 134358963588 153747242892 6333532255801 12667064511602 19000596767403 25334129023204 38001193534806 57001790302209 76002387069612 114003580604418 228007161208836