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233421323140 = 2252315712772531
BaseRepresentation
bin1101100101100011111…
…1101011101110000100
3211022111112101210220101
43121120333223232010
512311021324320030
6255122101013444
722602253336615
oct3313077535604
9738445353811
10233421323140
118aaa2284a15
12392a43b4284
131901c464825
14b424a87c0c
1561126187ca
hex3658febb84

233421323140 has 96 divisors (see below), whose sum is σ = 515361740544. Its totient is φ = 88635655680.

The previous prime is 233421323129. The next prime is 233421323159. The reversal of 233421323140 is 41323124332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 233421323099 and 233421323108.

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, 92223675 + ... + 92226205.

It is an arithmetic number, because the mean of its divisors is an integer number (5368351464).

Almost surely, 2233421323140 is an apocalyptic number.

233421323140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233421323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257680870272).

233421323140 is an abundant number, since it is smaller than the sum of its proper divisors (281940417404).

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

233421323140 is a wasteful number, since it uses less digits than its factorization.

233421323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 233421323140 its reverse (41323124332), we get a palindrome (274744447472).

The spelling of 233421323140 in words is "two hundred thirty-three billion, four hundred twenty-one million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 157 230 314 460 628 785 1277 1570 2531 2554 3140 3611 5062 5108 6385 7222 10124 12655 12770 14444 18055 25310 25540 29371 36110 50620 58213 58742 72220 116426 117484 146855 200489 232852 291065 293710 397367 400978 582130 587420 794734 801956 1002445 1164260 1589468 1986835 2004890 3232087 3973670 4009780 4611247 6464174 7947340 9139441 9222494 12928348 16160435 18278882 18444988 23056235 32320870 36557764 45697205 46112470 64641740 74338001 91394410 92224940 148676002 182788820 297352004 371690005 507437659 743380010 1014875318 1486760020 2029750636 2537188295 5074376590 10148753180 11671066157 23342132314 46684264628 58355330785 116710661570 233421323140