Search a number
-
+
232523412 = 22311101107163
BaseRepresentation
bin11011101110000…
…00011010010100
3121012112102011020
431313000122110
5434011222122
635023441140
75522262552
oct1567003224
9535472136
10232523412
1110a287310
1265a561b0
1339233a24
1422c4abd2
1515630c5c
hexddc0694

232523412 has 96 divisors (see below), whose sum is σ = 607025664. Its totient is φ = 68688000.

The previous prime is 232523407. The next prime is 232523419. The reversal of 232523412 is 214325232.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232523419) 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 31 ways as a sum of consecutive naturals, for example, 1426443 + ... + 1426605.

It is an arithmetic number, because the mean of its divisors is an integer number (6323184).

Almost surely, 2232523412 is an apocalyptic number.

232523412 is a gapful number since it is divisible by the number (22) 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 232523412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303512832).

232523412 is an abundant number, since it is smaller than the sum of its proper divisors (374502252).

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

232523412 is a wasteful number, since it uses less digits than its factorization.

232523412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 232523412 is about 15248.7183723748. The cubic root of 232523412 is about 614.9251121716.

Adding to 232523412 its reverse (214325232), we get a palindrome (446848644).

It can be divided in two parts, 2325234 and 12, that added together give a triangular number (2325246 = T2156).

The spelling of 232523412 in words is "two hundred thirty-two million, five hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 107 132 163 202 214 303 321 326 404 428 489 606 642 652 978 1111 1177 1212 1284 1793 1956 2222 2354 3333 3531 3586 4444 4708 5379 6666 7062 7172 10758 10807 13332 14124 16463 17441 21516 21614 32421 32926 34882 43228 49389 52323 64842 65852 69764 98778 104646 118877 129684 181093 191851 197556 209292 237754 356631 362186 383702 475508 543279 575553 713262 724372 767404 1086558 1151106 1426524 1761541 2173116 2302212 3523082 5284623 7046164 10569246 19376951 21138492 38753902 58130853 77507804 116261706 232523412