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233520240132 = 223231972418951
BaseRepresentation
bin1101100101111011100…
…1000001011000000100
3211022202102112022111200
43121132321001120010
512311222140141012
6255135553102500
722604564201424
oct3313671013004
9738672468450
10233520240132
11900430a67a3
1239311557a30
1319036ab93aa
14b433c76484
15611b1573dc
hex365ee41604

233520240132 has 144 divisors (see below), whose sum is σ = 618234000384. Its totient is φ = 74234880000.

The previous prime is 233520240103. The next prime is 233520240167. The reversal of 233520240132 is 231042025332.

233520240132 is a `hidden beast` number, since 2 + 3 + 3 + 520 + 2 + 4 + 0 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 233520240096 and 233520240105.

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 47 ways as a sum of consecutive naturals, for example, 26084257 + ... + 26093207.

Almost surely, 2233520240132 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 233520240132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309117000192).

233520240132 is an abundant number, since it is smaller than the sum of its proper divisors (384713760252).

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

233520240132 is a wasteful number, since it uses less digits than its factorization.

233520240132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 233520240132 its reverse (231042025332), we get a palindrome (464562265464).

The spelling of 233520240132 in words is "two hundred thirty-three billion, five hundred twenty million, two hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 97 124 186 194 241 279 291 372 388 482 558 582 723 873 964 1116 1164 1446 1746 2169 2892 3007 3492 4338 6014 7471 8676 8951 9021 12028 14942 17902 18042 22413 23377 26853 27063 29884 35804 36084 44826 46754 53706 54126 67239 70131 80559 89652 93508 107412 108252 134478 140262 161118 210393 268956 277481 280524 322236 420786 554962 724687 832443 841572 868247 1109924 1449374 1664886 1736494 2157191 2174061 2497329 2604741 2898748 3329772 3472988 4314382 4348122 4994658 5209482 6471573 6522183 7814223 8628764 8696244 9989316 10418964 12943146 13044366 15628446 19414719 25886292 26088732 26915657 31256892 38829438 53831314 66872921 77658876 80746971 107662628 133745842 161493942 200618763 209247527 242240913 267491684 322987884 401237526 418495054 484481826 601856289 627742581 802475052 836990108 968963652 1203712578 1255485162 1883227743 2407425156 2510970324 3766455486 6486673337 7532910972 12973346674 19460020011 25946693348 38920040022 58380060033 77840080044 116760120066 233520240132