Search a number
-
+
230316936 = 233191932617
BaseRepresentation
bin11011011101001…
…01101110001000
3121001101022102220
431232211232020
5432430120221
634504254040
75464442643
oct1556455610
9531338386
10230316936
1110900a583
1265171320
1338940615
1422834a5a
15153470c6
hexdba5b88

230316936 has 64 divisors (see below), whose sum is σ = 609470400. Its totient is φ = 72327168.

The previous prime is 230316923. The next prime is 230316937. The reversal of 230316936 is 639613032.

230316936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230316897 and 230316906.

It is not an unprimeable number, because it can be changed into a prime (230316937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86700 + ... + 89316.

It is an arithmetic number, because the mean of its divisors is an integer number (9522975).

Almost surely, 2230316936 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 230316936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304735200).

230316936 is an abundant number, since it is smaller than the sum of its proper divisors (379153464).

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

230316936 is a wasteful number, since it uses less digits than its factorization.

230316936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 230316936 is about 15176.1963614076. The cubic root of 230316936 is about 612.9738649222.

Adding to 230316936 its reverse (639613032), we get a palindrome (869929968).

The spelling of 230316936 in words is "two hundred thirty million, three hundred sixteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 193 228 386 456 579 772 1158 1544 2316 2617 3667 4632 5234 7334 7851 10468 11001 14668 15702 20936 22002 29336 31404 44004 49723 62808 88008 99446 149169 198892 298338 397784 505081 596676 1010162 1193352 1515243 2020324 3030486 4040648 6060972 9596539 12121944 19193078 28789617 38386156 57579234 76772312 115158468 230316936