Search a number
-
+
225311140 = 22529338449
BaseRepresentation
bin11010110110111…
…11100110100100
3120200221222210001
431123133212210
5430134424030
634205111044
75404053535
oct1533374644
9520858701
10225311140
1110620065a
1263558484
13378aa002
1421cd068c
1514ba8cca
hexd6df9a4

225311140 has 24 divisors (see below), whose sum is σ = 474780600. Its totient is φ = 89814528.

The previous prime is 225311137. The next prime is 225311213. The reversal of 225311140 is 41113522.

It can be written as a sum of positive squares in 4 ways, for example, as 13957696 + 211353444 = 3736^2 + 14538^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13365 + ... + 25084.

It is an arithmetic number, because the mean of its divisors is an integer number (19782525).

Almost surely, 2225311140 is an apocalyptic number.

225311140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225311140 is an abundant number, since it is smaller than the sum of its proper divisors (249469460).

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

225311140 is a wasteful number, since it uses less digits than its factorization.

225311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38751 (or 38749 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 225311140 is about 15010.3677503251. The cubic root of 225311140 is about 608.5004284007.

Adding to 225311140 its reverse (41113522), we get a palindrome (266424662).

The spelling of 225311140 in words is "two hundred twenty-five million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 38449 76898 153796 192245 384490 768980 11265557 22531114 45062228 56327785 112655570 225311140