Base | Representation |
---|---|
bin | 1101100001000011111… |
… | …1100001100111010100 |
3 | 211012101100100000010200 |
4 | 3120100333201213110 |
5 | 12301033102302241 |
6 | 254402145220500 |
7 | 22530314446152 |
oct | 3302077414724 |
9 | 735340300120 |
10 | 232213322196 |
11 | 8a532403a29 |
12 | 39007931730 |
13 | 18b890cb67b |
14 | b34c4743d2 |
15 | 609154c4b6 |
hex | 3610fe19d4 |
232213322196 has 144 divisors (see below), whose sum is σ = 627434615808. Its totient is φ = 72160358400.
The previous prime is 232213322167. The next prime is 232213322197. The reversal of 232213322196 is 691223312232.
232213322196 is a `hidden beast` number, since 2 + 32 + 213 + 322 + 1 + 96 = 666.
232213322196 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 nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 232213322196.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232213322197) 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 47 ways as a sum of consecutive naturals, for example, 28166851 + ... + 28175093.
It is an arithmetic number, because the mean of its divisors is an integer number (4357184832).
Almost surely, 2232213322196 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 232213322196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313717307904).
232213322196 is an abundant number, since it is smaller than the sum of its proper divisors (395221293612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232213322196 is a wasteful number, since it uses less digits than its factorization.
232213322196 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8702 (or 8697 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The spelling of 232213322196 in words is "two hundred thirty-two billion, two hundred thirteen million, three hundred twenty-two thousand, one hundred ninety-six".
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