Search a number
-
+
232206304 = 25113172081
BaseRepresentation
bin11011101011100…
…10111111100000
3121011221022011111
431311302333200
5433421100204
635012553104
75516502211
oct1565627740
9534838144
10232206304
1110a090040
1265922794
13391525a5
1422ba7408
15155bbd04
hexdd72fe0

232206304 has 48 divisors (see below), whose sum is σ = 500529456. Its totient is φ = 105164800.

The previous prime is 232206283. The next prime is 232206323. The reversal of 232206304 is 403602232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 110544 + ... + 112624.

It is an arithmetic number, because the mean of its divisors is an integer number (10427697).

Almost surely, 2232206304 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 232206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250264728).

232206304 is an abundant number, since it is smaller than the sum of its proper divisors (268323152).

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

232206304 is a wasteful number, since it uses less digits than its factorization.

232206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 232206304 is about 15238.3169674344. The cubic root of 232206304 is about 614.6454465932.

Adding to 232206304 its reverse (403602232), we get a palindrome (635808536).

The spelling of 232206304 in words is "two hundred thirty-two million, two hundred six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 317 352 634 1268 2081 2536 3487 4162 5072 6974 8324 10144 13948 16648 22891 27896 33296 45782 55792 66592 91564 111584 183128 366256 659677 732512 1319354 2638708 5277416 7256447 10554832 14512894 21109664 29025788 58051576 116103152 232206304