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232257740 = 2251113172281
BaseRepresentation
bin11011101011111…
…11100011001100
3121012000220201112
431311333203030
5433424221430
635014031152
75520105161
oct1565774314
9535026645
10232257740
1110a115750
12659484b8
133916cb20
1422bbc068
15155cc195
hexdd7f8cc

232257740 has 144 divisors (see below), whose sum is σ = 610866144. Its totient is φ = 73113600.

The previous prime is 232257733. The next prime is 232257763. The reversal of 232257740 is 47752232.

232257740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 232257697 and 232257706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826400 + ... + 826680.

It is an arithmetic number, because the mean of its divisors is an integer number (4242126).

Almost surely, 2232257740 is an apocalyptic number.

232257740 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 232257740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305433072).

232257740 is an abundant number, since it is smaller than the sum of its proper divisors (378608404).

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

232257740 is a wasteful number, since it uses less digits than its factorization.

232257740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 232257740 is about 15240.0045931752. The cubic root of 232257740 is about 614.6908265973.

The spelling of 232257740 in words is "two hundred thirty-two million, two hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 130 143 170 187 220 221 260 281 286 289 340 374 442 562 572 578 715 748 884 935 1105 1124 1156 1405 1430 1445 1870 2210 2431 2810 2860 2890 3091 3179 3653 3740 3757 4420 4777 4862 5620 5780 6182 6358 7306 7514 9554 9724 12155 12364 12716 14612 15028 15455 15895 18265 18785 19108 23885 24310 30910 31790 36530 37570 40183 41327 47770 48620 52547 61820 62101 63580 73060 75140 80366 81209 82654 95540 105094 124202 160732 162418 165308 200915 206635 210188 248404 262735 310505 324836 401830 406045 413270 525470 621010 683111 803660 812090 826540 893299 1050940 1055717 1242020 1366222 1624180 1786598 2111434 2732444 3415555 3573196 4222868 4466495 5278585 6831110 8932990 10557170 11612887 13662220 17865980 21114340 23225774 46451548 58064435 116128870 232257740