Base | Representation |
---|---|
bin | 1110100011000… |
… | …01000011001100 |
3 | 22111121212220000 |
4 | 13101201003030 |
5 | 222220013312 |
6 | 20035324300 |
7 | 3011154252 |
oct | 721410314 |
9 | 274555800 |
10 | 122032332 |
11 | 6297a774 |
12 | 34a50690 |
13 | 1c388ca6 |
14 | 122c85d2 |
15 | aaa7adc |
hex | 74610cc |
122032332 has 60 divisors (see below), whose sum is σ = 321182400. Its totient is φ = 40401504.
The previous prime is 122032331. The next prime is 122032333. The reversal of 122032332 is 233230221.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (122032331) and next prime (122032333).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122032331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49669 + ... + 52067.
It is an arithmetic number, because the mean of its divisors is an integer number (5353040).
Almost surely, 2122032332 is an apocalyptic number.
122032332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122032332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160591200).
122032332 is an abundant number, since it is smaller than the sum of its proper divisors (199150068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122032332 is a wasteful number, since it uses less digits than its factorization.
122032332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2572 (or 2561 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 122032332 is about 11046.8245211011. The cubic root of 122032332 is about 496.0113756930.
Adding to 122032332 its reverse (233230221), we get a palindrome (355262553).
It can be divided in two parts, 12203 and 2332, that added together give a triangular number (14535 = T170).
The spelling of 122032332 in words is "one hundred twenty-two million, thirty-two thousand, three hundred thirty-two".
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