Search a number
-
+
230025224 = 231113215467
BaseRepresentation
bin11011011010111…
…10100000001000
3121000211111021202
431231132200020
5432341301344
634454123332
75462116322
oct1555364010
9530744252
10230025224
111089303a0
1265050548
133886a900
142279a612
15152da94e
hexdb5e808

230025224 has 48 divisors (see below), whose sum is σ = 509515920. Its totient is φ = 96507840.

The previous prime is 230025209. The next prime is 230025251. The reversal of 230025224 is 422520032.

It is a junction number, because it is equal to n+sod(n) for n = 230025196 and 230025205.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7139 + ... + 22605.

It is an arithmetic number, because the mean of its divisors is an integer number (10614915).

Almost surely, 2230025224 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 230025224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254757960).

230025224 is an abundant number, since it is smaller than the sum of its proper divisors (279490696).

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

230025224 is a wasteful number, since it uses less digits than its factorization.

230025224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15510 (or 15493 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 230025224 is about 15166.5824759568. The cubic root of 230025224 is about 612.7149646133.

Adding to 230025224 its reverse (422520032), we get a palindrome (652545256).

The spelling of 230025224 in words is "two hundred thirty million, twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 338 572 676 1144 1352 1859 3718 7436 14872 15467 30934 61868 123736 170137 201071 340274 402142 680548 804284 1361096 1608568 2211781 2613923 4423562 5227846 8847124 10455692 17694248 20911384 28753153 57506306 115012612 230025224