Base | Representation |
---|---|
bin | 1111110000110… |
… | …00110111010100 |
3 | 100012210121001200 |
4 | 13320120313110 |
5 | 232322104140 |
6 | 21041552500 |
7 | 3163605051 |
oct | 770306724 |
9 | 305717050 |
10 | 132222420 |
11 | 686aa730 |
12 | 38345730 |
13 | 21516225 |
14 | 137bc028 |
15 | b91c030 |
hex | 7e18dd4 |
132222420 has 144 divisors (see below), whose sum is σ = 447999552. Its totient is φ = 31288320.
The previous prime is 132222407. The next prime is 132222427. The reversal of 132222420 is 24222231.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 132222393 and 132222402.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132222427) 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, 84364 + ... + 85916.
It is an arithmetic number, because the mean of its divisors is an integer number (3111108).
Almost surely, 2132222420 is an apocalyptic number.
132222420 is a gapful number since it is divisible by the number (10) 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 132222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223999776).
132222420 is an abundant number, since it is smaller than the sum of its proper divisors (315777132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132222420 is a wasteful number, since it uses less digits than its factorization.
132222420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1622 (or 1617 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 132222420 is about 11498.8008070407. The cubic root of 132222420 is about 509.4501571263.
Adding to 132222420 its reverse (24222231), we get a palindrome (156444651).
The spelling of 132222420 in words is "one hundred thirty-two million, two hundred twenty-two thousand, four hundred twenty".
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