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230246003442 = 237131738212969
BaseRepresentation
bin1101011001101110111…
…0110011001011110010
3211000022020110212011010
43112123232303023302
512233020434102232
6253435030531350
722430465511030
oct3263356631362
9730266425133
10230246003442
1189712959264
1238758b06b56
1318934657830
14b203085550
155ec89930cc
hex359bbb32f2

230246003442 has 128 divisors (see below), whose sum is σ = 570922007040. Its totient is φ = 60279367680.

The previous prime is 230246003437. The next prime is 230246003443. The reversal of 230246003442 is 244300642032.

It is not an unprimeable number, because it can be changed into a prime (230246003443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77548534 + ... + 77551502.

It is an arithmetic number, because the mean of its divisors is an integer number (4460328180).

Almost surely, 2230246003442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230246003442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285461003520).

230246003442 is an abundant number, since it is smaller than the sum of its proper divisors (340676003598).

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

230246003442 is a wasteful number, since it uses less digits than its factorization.

230246003442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 230246003442 its reverse (244300642032), we get a palindrome (474546645474).

The spelling of 230246003442 in words is "two hundred thirty billion, two hundred forty-six million, three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 173 182 273 346 519 546 821 1038 1211 1642 2249 2422 2463 2969 3633 4498 4926 5747 5938 6747 7266 8907 10673 11494 13494 15743 17241 17814 20783 21346 31486 32019 34482 38597 41566 47229 62349 64038 74711 77194 94458 115791 124698 142033 149422 224133 231582 270179 284066 426099 448266 513637 540358 810537 852198 994231 1027274 1540911 1621074 1846429 1988462 2437549 2982693 3081822 3595459 3692858 4875098 5539287 5965386 6677281 7190918 7312647 10786377 11078574 12925003 13354562 14625294 17062843 20031843 21572754 25850006 31688137 34125686 38775009 40063686 46740967 51188529 63376274 77550018 93481934 95064411 102377058 140222901 190128822 221816959 280445802 421695977 443633918 665450877 843391954 1265087931 1330901754 2530175862 2951871839 5482047701 5903743678 8855615517 10964095402 16446143103 17711231034 32892286206 38374333907 76748667814 115123001721 230246003442