Base | Representation |
---|---|
bin | 1111110000110… |
… | …00101101111100 |
3 | 100012210120020110 |
4 | 13320120231330 |
5 | 232322044240 |
6 | 21041550020 |
7 | 3163603233 |
oct | 770305574 |
9 | 305716213 |
10 | 132221820 |
11 | 686aa235 |
12 | 38345310 |
13 | 21515b83 |
14 | 137bbb1a |
15 | b91bc80 |
hex | 7e18b7c |
132221820 has 96 divisors (see below), whose sum is σ = 388233216. Its totient is φ = 33580800.
The previous prime is 132221819. The next prime is 132221849. The reversal of 132221820 is 28122231.
It is a happy number.
It is a super-2 number, since 2×1322218202 = 34965219368224800, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124090 + ... + 125150.
It is an arithmetic number, because the mean of its divisors is an integer number (4044096).
Almost surely, 2132221820 is an apocalyptic number.
132221820 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 132221820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194116608).
132221820 is an abundant number, since it is smaller than the sum of its proper divisors (256011396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132221820 is a wasteful number, since it uses less digits than its factorization.
132221820 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1171 (or 1169 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 132221820 is about 11498.7747173340. The cubic root of 132221820 is about 509.4493865294.
The spelling of 132221820 in words is "one hundred thirty-two million, two hundred twenty-one thousand, eight hundred twenty".
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