Search a number
-
+
225591548 = 227134431399
BaseRepresentation
bin11010111001001…
…00000011111100
3120201111020102112
431130210003330
5430222412143
634215113152
75406332210
oct1534440374
9521436375
10225591548
111063822a6
12636727b8
1337977830
1421d64940
1514c11e18
hexd7240fc

225591548 has 48 divisors (see below), whose sum is σ = 487334400. Its totient is φ = 88979904.

The previous prime is 225591517. The next prime is 225591559. The reversal of 225591548 is 845195522.

225591548 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160553 + ... + 161951.

It is an arithmetic number, because the mean of its divisors is an integer number (10152800).

Almost surely, 2225591548 is an apocalyptic number.

225591548 is a gapful number since it is divisible by the number (28) 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 225591548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243667200).

225591548 is an abundant number, since it is smaller than the sum of its proper divisors (261742852).

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

225591548 is a wasteful number, since it uses less digits than its factorization.

225591548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1864 counting only the distinct ones).

The product of its digits is 144000, while the sum is 41.

The square root of 225591548 is about 15019.7053233411. The cubic root of 225591548 is about 608.7527574727.

The spelling of 225591548 in words is "two hundred twenty-five million, five hundred ninety-one thousand, five hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 443 886 1399 1772 2798 3101 5596 5759 6202 9793 11518 12404 18187 19586 23036 36374 39172 40313 72748 80626 127309 161252 254618 509236 619757 1239514 2479028 4338299 8056841 8676598 16113682 17353196 32227364 56397887 112795774 225591548