Search a number
-
+
233317140 = 223574312919
BaseRepresentation
bin11011110100000…
…10001100010100
3121021000201221120
431322002030110
5434212122030
635052443540
75532106620
oct1572021424
9537021846
10233317140
1110a779691
12661795b0
13394510a4
1422db6180
151573b010
hexde82314

233317140 has 96 divisors (see below), whose sum is σ = 764037120. Its totient is φ = 52085376.

The previous prime is 233317127. The next prime is 233317141. The reversal of 233317140 is 41713332.

233317140 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

233317140 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 233317140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233317141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11601 + ... + 24519.

It is an arithmetic number, because the mean of its divisors is an integer number (7958720).

Almost surely, 2233317140 is an apocalyptic number.

233317140 is a gapful number since it is divisible by the number (20) 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 233317140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382018560).

233317140 is an abundant number, since it is smaller than the sum of its proper divisors (530719980).

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

233317140 is a wasteful number, since it uses less digits than its factorization.

233317140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12981 (or 12979 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 233317140 is about 15274.7222560674. The cubic root of 233317140 is about 615.6240080550.

The spelling of 233317140 in words is "two hundred thirty-three million, three hundred seventeen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 12919 18060 25838 38757 51676 64595 77514 90433 129190 155028 180866 193785 258380 271299 361732 387570 452165 542598 555517 775140 904330 1085196 1111034 1356495 1666551 1808660 2222068 2712990 2777585 3333102 3888619 5425980 5555170 6666204 7777238 8332755 11110340 11665857 15554476 16665510 19443095 23331714 33331020 38886190 46663428 58329285 77772380 116658570 233317140