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233243430 = 23573191193
BaseRepresentation
bin11011110011100…
…00001100100110
3121020212222211120
431321300030212
5434202242210
635051114410
75531352000
oct1571601446
9536788746
10233243430
1110a729272
1266142a06
1339426684
1422d97370
1515724270
hexde70326

233243430 has 128 divisors (see below), whose sum is σ = 687744000. Its totient is φ = 50464512.

The previous prime is 233243419. The next prime is 233243431. The reversal of 233243430 is 34342332.

233243430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233243430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233243431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194914 + ... + 196106.

It is an arithmetic number, because the mean of its divisors is an integer number (5373000).

Almost surely, 2233243430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233243430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343872000).

233243430 is an abundant number, since it is smaller than the sum of its proper divisors (454500570).

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

233243430 is a wasteful number, since it uses less digits than its factorization.

233243430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 233243430 is about 15272.3092556430. The cubic root of 233243430 is about 615.5591715195.

Adding to 233243430 its reverse (34342332), we get a palindrome (267585762).

The spelling of 233243430 in words is "two hundred thirty-three million, two hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 343 399 490 570 665 686 735 798 931 1029 1193 1330 1470 1715 1862 1995 2058 2386 2793 3430 3579 3990 4655 5145 5586 5965 6517 7158 8351 9310 10290 11930 13034 13965 16702 17895 19551 22667 25053 27930 32585 35790 39102 41755 45334 50106 58457 65170 68001 83510 97755 113335 116914 125265 136002 158669 175371 195510 226670 250530 292285 317338 340005 350742 409199 476007 584570 680010 793345 818398 876855 952014 1110683 1227597 1586690 1753710 2045995 2221366 2380035 2455194 3332049 4091990 4760070 5553415 6137985 6664098 7774781 11106830 12275970 15549562 16660245 23324343 33320490 38873905 46648686 77747810 116621715 233243430