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233223324115040 = 25571071946122531
BaseRepresentation
bin110101000001110110001001…
…011000110010000001100000
31010120202221011110022120211122
4311001312021120302001200
5221032112331433140130
62144005152131031412
7100060554246642410
oct6501661130620140
91116687143276748
10233223324115040
1168348502386106
12221a82ab43b568
13a019b327cb59c
1441840d7926640
151be6a195152e5
hexd41d89632060

233223324115040 has 96 divisors (see below), whose sum is σ = 635588049970944. Its totient is φ = 79214971461120.

The previous prime is 233223324114953. The next prime is 233223324115049. The reversal of 233223324115040 is 40511423322332.

It is a super-2 number, since 2×2332233241150402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233223324115049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972941426 + ... + 973181105.

It is an arithmetic number, because the mean of its divisors is an integer number (6620708853864).

Almost surely, 2233223324115040 is an apocalyptic number.

233223324115040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233223324115040 is an abundant number, since it is smaller than the sum of its proper divisors (402364725855904).

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

233223324115040 is a wasteful number, since it uses less digits than its factorization.

233223324115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946122660 (or 1946122652 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 233223324115040 its reverse (40511423322332), we get a palindrome (273734747437372).

The spelling of 233223324115040 in words is "two hundred thirty-three trillion, two hundred twenty-three billion, three hundred twenty-four million, one hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 107 112 140 160 214 224 280 428 535 560 749 856 1070 1120 1498 1712 2140 2996 3424 3745 4280 5992 7490 8560 11984 14980 17120 23968 29960 59920 119840 1946122531 3892245062 7784490124 9730612655 13622857717 15568980248 19461225310 27245715434 31137960496 38922450620 54491430868 62275920992 68114288585 77844901240 108982861736 136228577170 155689802480 208235110817 217965723472 272457154340 311379604960 416470221634 435931446944 544914308680 832940443268 1041175554085 1089828617360 1457645775719 1665880886536 2082351108170 2179657234720 2915291551438 3331761773072 4164702216340 5830583102876 6663523546144 7288228878595 8329404432680 11661166205752 14576457757190 16658808865360 23322332411504 29152915514380 33317617730720 46644664823008 58305831028760 116611662057520 233223324115040