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230402216361464 = 237831313191118583
BaseRepresentation
bin110100011000110010110010…
…010000101111110111111000
31010012210020101121101000101222
4310120302302100233313320
5220144402214342031324
62134005152245131212
766350003464460210
oct6430626220576770
91105706347330358
10230402216361464
1167460038620994
1221a115b00b9b08
139b73ab3279044
1440c775366d240
151b9845511155e
hexd18cb242fdf8

230402216361464 has 128 divisors (see below), whose sum is σ = 503643741511680. Its totient is φ = 96778280227200.

The previous prime is 230402216361413. The next prime is 230402216361487. The reversal of 230402216361464 is 464163612204032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1942902317 + ... + 1943020899.

It is an arithmetic number, because the mean of its divisors is an integer number (3934716730560).

Almost surely, 2230402216361464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230402216361464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251821870755840).

230402216361464 is an abundant number, since it is smaller than the sum of its proper divisors (273241525150216).

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

230402216361464 is a wasteful number, since it uses less digits than its factorization.

230402216361464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122001 (or 121997 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

Adding to 230402216361464 its reverse (464163612204032), we get a palindrome (694565828565496).

The spelling of 230402216361464 in words is "two hundred thirty trillion, four hundred two billion, two hundred sixteen million, three hundred sixty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 83 131 166 262 332 524 581 664 917 1048 1162 1834 2324 3191 3668 4648 6382 7336 10873 12764 21746 22337 25528 43492 44674 76111 86984 89348 118583 152222 178696 237166 264853 304444 418021 474332 529706 608888 830081 836042 948664 1059412 1660162 1672084 1853971 2118824 2926147 3320324 3344168 3707942 5852294 6640648 7415884 9842389 11704588 14831768 15534373 19684778 23409176 31068746 34695743 39369556 62137492 68896723 69391486 78739112 108740611 124274984 137793446 138782972 217481222 242870201 275586892 277565944 378398353 434962444 485740402 551173784 756796706 869924888 971480804 1289352959 1513593412 1942961608 2578705918 2648788471 3027186824 5157411836 5297576942 9025470713 10314823672 10595153884 18050941426 21190307768 31407063299 36101882852 49570184243 62814126598 72203765704 99140368486 125628253196 198280736972 219849443093 251256506392 346991289701 396561473944 439698886186 693982579402 879397772372 1387965158804 1758795544744 2775930317608 4114325292169 8228650584338 16457301168676 28800277045183 32914602337352 57600554090366 115201108180732 230402216361464