Base | Representation |
---|---|
bin | 1111110000110… |
… | …01000000100110 |
3 | 100012210121212200 |
4 | 13320121000212 |
5 | 232322114024 |
6 | 21041555330 |
7 | 3163606560 |
oct | 770310046 |
9 | 305717780 |
10 | 132223014 |
11 | 68700120 |
12 | 38345b46 |
13 | 21516591 |
14 | 137bc330 |
15 | b91c2c9 |
hex | 7e19026 |
132223014 has 96 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 32529600.
The previous prime is 132223009. The next prime is 132223019. The reversal of 132223014 is 410322231.
132223014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (132223009) and next prime (132223019).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132223019) 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, 23824 + ... + 28844.
It is an arithmetic number, because the mean of its divisors is an integer number (3917160).
Almost surely, 2132223014 is an apocalyptic number.
132223014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 132223014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).
132223014 is an abundant number, since it is smaller than the sum of its proper divisors (243824346).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132223014 is a wasteful number, since it uses less digits than its factorization.
132223014 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5066 (or 5063 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 132223014 is about 11498.8266357920. The cubic root of 132223014 is about 509.4509200149.
Adding to 132223014 its reverse (410322231), we get a palindrome (542545245).
It can be divided in two parts, 1322 and 23014, that added together give a square (24336 = 1562).
The spelling of 132223014 in words is "one hundred thirty-two million, two hundred twenty-three thousand, fourteen".
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