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232426323540 = 223253141653463
BaseRepresentation
bin1101100001110110110…
…0000011111001010100
3211012221012010121001100
43120131230003321110
512302002114323130
6254435234430100
722535512103265
oct3303554037124
9735835117040
10232426323540
118a631666aa4
1239067132330
1318bc1288678
14b36c87c96c
1560a50c3c60
hex361db03e54

232426323540 has 72 divisors (see below), whose sum is σ = 727769323008. Its totient is φ = 59980985280.

The previous prime is 232426323523. The next prime is 232426323541. The reversal of 232426323540 is 45323624232.

232426323540 is a `hidden beast` number, since 2 + 3 + 242 + 63 + 2 + 354 + 0 = 666.

232426323540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232426323495 and 232426323504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232426323541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20821152 + ... + 20832311.

It is an arithmetic number, because the mean of its divisors is an integer number (10107907264).

Almost surely, 2232426323540 is an apocalyptic number.

232426323540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232426323540 is an abundant number, since it is smaller than the sum of its proper divisors (495342999468).

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

232426323540 is a wasteful number, since it uses less digits than its factorization.

232426323540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41653509 (or 41653504 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 232426323540 its reverse (45323624232), we get a palindrome (277749947772).

The spelling of 232426323540 in words is "two hundred thirty-two billion, four hundred twenty-six million, three hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 41653463 83306926 124960389 166613852 208267315 249920778 374881167 416534630 499841556 624801945 749762334 833069260 1249603890 1291257353 1499524668 1874405835 2499207780 2582514706 3748811670 3873772059 5165029412 6456286765 7497623340 7747544118 11621316177 12912573530 15495088236 19368860295 23242632354 25825147060 38737720590 46485264708 58106580885 77475441180 116213161770 232426323540