Search a number
-
+
225957747080 = 235134771197661
BaseRepresentation
bin1101001001110000100…
…0011001100110001000
3210121020101100212022102
43102130020121212020
512200230140401310
6251445322412532
722216305105632
oct3223410314610
9717211325272
10225957747080
118791229183a
1237960961148
13184000ba730
14ad17737a52
155d2727d8a5
hex349c219988

225957747080 has 256 divisors, whose sum is σ = 570778306560. Its totient is φ = 79975526400.

The previous prime is 225957747013. The next prime is 225957747089. The reversal of 225957747080 is 80747759522.

225957747080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225957747089) 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, 341841950 + ... + 341842610.

It is an arithmetic number, because the mean of its divisors is an integer number (2229602760).

Almost surely, 2225957747080 is an apocalyptic number.

225957747080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225957747080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285389153280).

225957747080 is an abundant number, since it is smaller than the sum of its proper divisors (344820559480).

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

225957747080 is a wasteful number, since it uses less digits than its factorization.

225957747080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 56.

The spelling of 225957747080 in words is "two hundred twenty-five billion, nine hundred fifty-seven million, seven hundred forty-seven thousand, eighty".