Search a number
-
+
225463476 = 223711323753
BaseRepresentation
bin11010111000001…
…00110010110100
3120201020201202010
431130010302310
5430204312401
634212244220
75405256630
oct1534046264
9521221663
10225463476
111062a5057
1263610670
1337931454
1421d2ddc0
1514bd8ed6
hexd704cb4

225463476 has 48 divisors (see below), whose sum is σ = 606582144. Its totient is φ = 63845376.

The previous prime is 225463451. The next prime is 225463477. The reversal of 225463476 is 674364522.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225463477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2385 + ... + 21368.

It is an arithmetic number, because the mean of its divisors is an integer number (12637128).

Almost surely, 2225463476 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 225463476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303291072).

225463476 is an abundant number, since it is smaller than the sum of its proper divisors (381118668).

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

225463476 is a wasteful number, since it uses less digits than its factorization.

225463476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23880 (or 23878 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 225463476 is about 15015.4412522576. The cubic root of 225463476 is about 608.6375360436.

The spelling of 225463476 in words is "two hundred twenty-five million, four hundred sixty-three thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 3164 4746 9492 23753 47506 71259 95012 142518 166271 285036 332542 498813 665084 997626 1995252 2684089 5368178 8052267 10736356 16104534 18788623 32209068 37577246 56365869 75154492 112731738 225463476