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230330233302 = 231319297437213
BaseRepresentation
bin1101011010000011000…
…0000111000111010110
3211000112002222011210120
43112200300013013112
512233204014431202
6253451240132410
722432540452111
oct3264060070726
9730462864716
10230330233302
1189756459414
1238781167106
1318948c392a0
14b21032d578
155ed10800bc
hex35a0c071d6

230330233302 has 128 divisors (see below), whose sum is σ = 541015372800. Its totient is φ = 64729373184.

The previous prime is 230330233249. The next prime is 230330233423. The reversal of 230330233302 is 203332033032.

230330233302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31929048 + ... + 31936260.

It is an arithmetic number, because the mean of its divisors is an integer number (4226682600).

Almost surely, 2230330233302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230330233302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270507686400).

230330233302 is an abundant number, since it is smaller than the sum of its proper divisors (310685139498).

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

230330233302 is a wasteful number, since it uses less digits than its factorization.

230330233302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022.

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 230330233302 its reverse (203332033032), we get a palindrome (433662266334).

The spelling of 230330233302 in words is "two hundred thirty billion, three hundred thirty million, two hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 13 19 26 29 38 39 57 58 78 87 114 174 247 377 494 551 741 743 754 1102 1131 1482 1486 1653 2229 2262 3306 4458 7163 7213 9659 14117 14326 14426 19318 21489 21547 21639 28234 28977 42351 42978 43094 43278 57954 64641 84702 93769 129282 137047 183521 187538 209177 274094 280111 281307 367042 409393 411141 418354 550563 560222 562614 627531 818786 822282 840333 1101126 1228179 1255062 1680666 1781611 2456358 2719301 3563222 3974363 5322109 5344833 5359259 5438602 7948726 8157903 10644218 10689666 10718518 11923089 15966327 16077777 16315806 23846178 31932654 32155554 51666719 69670367 101825921 103333438 139340734 155000157 155418511 203651842 209011101 305477763 310000314 310837022 418022202 466255533 610955526 932511066 1323736973 2020440643 2647473946 2952951709 3971210919 4040881286 5905903418 6061321929 7942421838 8858855127 12122643858 17717710254 38388372217 76776744434 115165116651 230330233302