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232023303320232 = 233192371123644513
BaseRepresentation
bin110100110000011000100010…
…100100101111001010101000
31010102112012200221110222202010
4310300120202210233022220
5220402432211122221412
62141250011204435520
766605062516330164
oct6460304244571250
91112465627428663
10232023303320232
1167a25591986626
12220338069a8ba0
139c6091bb12778
144141db8747ca4
151bc56d2abd33c
hexd3062292f2a8

232023303320232 has 192 divisors, whose sum is σ = 629301097788480. Its totient is φ = 71226640134144.

The previous prime is 232023303320203. The next prime is 232023303320233.

232023303320232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 232023303320232.

It is not an unprimeable number, because it can be changed into a prime (232023303320233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359675608 + ... + 360320120.

It is an arithmetic number, because the mean of its divisors is an integer number (3277609884315).

Almost surely, 2232023303320232 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 232023303320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314650548894240).

232023303320232 is an abundant number, since it is smaller than the sum of its proper divisors (397277794468248).

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

232023303320232 is a wasteful number, since it uses less digits than its factorization.

232023303320232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645720 (or 645697 counting only the distinct ones).

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

It can be divided in two parts, 23202330 and 3320232, that added together give a palindrome (26522562).

The spelling of 232023303320232 in words is "two hundred thirty-two trillion, twenty-three billion, three hundred three million, three hundred twenty thousand, two hundred thirty-two".