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2332232330232 = 2337213031522019
BaseRepresentation
bin100001111100000011111…
…000010010101111111000
322020221220021120220110210
4201330003320102233320
5301202402434031412
64543225052511120
7330332614500600
oct41740370225770
98227807526423
102332232330232
1181a104392932
12318003a7b4a0
1313bc0c09921c
1480c486d1c00
1540a0026b83c
hex21f03e12bf8

2332232330232 has 96 divisors (see below), whose sum is σ = 6787722153600. Its totient is φ = 665840258496.

The previous prime is 2332232330201. The next prime is 2332232330269. The reversal of 2332232330232 is 2320332322332.

2332232330232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2332232330232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771319 + ... + 2293337.

It is an arithmetic number, because the mean of its divisors is an integer number (70705439100).

Almost surely, 22332232330232 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 2332232330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393861076800).

2332232330232 is an abundant number, since it is smaller than the sum of its proper divisors (4455489823368).

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

2332232330232 is a wasteful number, since it uses less digits than its factorization.

2332232330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523345 (or 1523334 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

Adding to 2332232330232 its reverse (2320332322332), we get a palindrome (4652564652564).

The spelling of 2332232330232 in words is "two trillion, three hundred thirty-two billion, two hundred thirty-two million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1303 2606 3909 5212 7818 9121 10424 15636 18242 27363 31272 36484 54726 63847 72968 109452 127694 191541 218904 255388 383082 510776 766164 1522019 1532328 3044038 4566057 6088076 9132114 10654133 12176152 18264228 21308266 31962399 36528456 42616532 63924798 74578931 85233064 127849596 149157862 223736793 255699192 298315724 447473586 596631448 894947172 1789894344 1983190757 3966381514 5949572271 7932763028 11899144542 13882335299 15865526056 23798289084 27764670598 41647005897 47596578168 55529341196 83294011794 97176347093 111058682392 166588023588 194352694186 291529041279 333176047176 388705388372 583058082558 777410776744 1166116165116 2332232330232