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233032002330 = 23573149714143
BaseRepresentation
bin1101100100000111001…
…0100010101100011010
3211021111101211021011010
43121001302202230122
512304222143033310
6255015312314350
722556515223541
oct3310162425432
9737441737133
10233032002330
118a912543486
12391b5b429b6
1318c898c1c9a
14b3c90a3158
1560dd364320
hex3641ca2b1a

233032002330 has 64 divisors (see below), whose sum is σ = 570743884800. Its totient is φ = 60879177216.

The previous prime is 233032002319. The next prime is 233032002341. The reversal of 233032002330 is 33200230332.

It is an interprime number because it is at equal distance from previous prime (233032002319) and next prime (233032002341).

It is a junction number, because it is equal to n+sod(n) for n = 233032002297 and 233032002306.

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 31 ways as a sum of consecutive naturals, for example, 30762 + ... + 683381.

It is an arithmetic number, because the mean of its divisors is an integer number (8917873200).

Almost surely, 2233032002330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233032002330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285371942400).

233032002330 is an abundant number, since it is smaller than the sum of its proper divisors (337711882470).

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

233032002330 is a wasteful number, since it uses less digits than its factorization.

233032002330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714375.

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 233032002330 its reverse (33200230332), we get a palindrome (266232232662).

The spelling of 233032002330 in words is "two hundred thirty-three billion, thirty-two million, two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 149 219 298 365 438 447 730 745 894 1095 1490 2190 2235 4470 10877 21754 32631 54385 65262 108770 163155 326310 714143 1428286 2142429 3570715 4284858 7141430 10712145 21424290 52132439 104264878 106407307 156397317 212814614 260662195 312794634 319221921 521324390 532036535 638443842 781986585 1064073070 1563973170 1596109605 3192219210 7767733411 15535466822 23303200233 38838667055 46606400466 77677334110 116516001165 233032002330