Search a number
-
+
226754125576 = 231159233187441
BaseRepresentation
bin1101001100101110011…
…0010101111100001000
3210200021212220002020021
43103023212111330020
512203343024004301
6252100331510224
722245115160056
oct3231346257410
9720255802207
10226754125576
1188190879790
1237b435b8374
13184c90a3104
14ad913dd1d6
155d7213c8a1
hex34cb995f08

226754125576 has 64 divisors (see below), whose sum is σ = 473703422400. Its totient is φ = 100887705600.

The previous prime is 226754125519. The next prime is 226754125607. The reversal of 226754125576 is 675521457622.

226754125576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1116016 + ... + 1303456.

It is an arithmetic number, because the mean of its divisors is an integer number (7401615975).

Almost surely, 2226754125576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226754125576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236851711200).

226754125576 is an abundant number, since it is smaller than the sum of its proper divisors (246949296824).

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

226754125576 is a wasteful number, since it uses less digits than its factorization.

226754125576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187750 (or 187746 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 52.

The spelling of 226754125576 in words is "two hundred twenty-six billion, seven hundred fifty-four million, one hundred twenty-five thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 59 88 118 233 236 466 472 649 932 1298 1864 2563 2596 5126 5192 10252 13747 20504 27494 54988 109976 151217 187441 302434 374882 604868 749764 1209736 1499528 2061851 4123702 8247404 11059019 16494808 22118038 43673753 44236076 87347506 88472152 121649209 174695012 243298418 349390024 480411283 486596836 960822566 973193672 1921645132 2576751427 3843290264 5153502854 10307005708 20614011416 28344265697 56688531394 113377062788 226754125576