Base | Representation |
---|---|
bin | 100001101111100… |
… | …0101010000000000 |
3 | 2220220110210211102 |
4 | 1003133011100000 |
5 | 4304322041230 |
6 | 304203233532 |
7 | 40025503100 |
oct | 10337052000 |
9 | 2826423742 |
10 | 1132221440 |
11 | 5311227a9 |
12 | 2772188a8 |
13 | 150752b1c |
14 | aa529200 |
15 | 695ed045 |
hex | 437c5400 |
1132221440 has 132 divisors (see below), whose sum is σ = 3160134036. Its totient is φ = 388104192.
The previous prime is 1132221439. The next prime is 1132221479. The reversal of 1132221440 is 441222311.
It can be written as a sum of positive squares in 2 ways, for example, as 120472576 + 1011748864 = 10976^2 + 31808^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 248624 + ... + 253136.
Almost surely, 21132221440 is an apocalyptic number.
1132221440 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 1132221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580067018).
1132221440 is an abundant number, since it is smaller than the sum of its proper divisors (2027912596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1132221440 is an equidigital number, since it uses as much as digits as its factorization.
1132221440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4552 (or 4527 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 1132221440 is about 33648.4983320207. The cubic root of 1132221440 is about 1042.2625298966.
Adding to 1132221440 its reverse (441222311), we get a palindrome (1573443751).
The spelling of 1132221440 in words is "one billion, one hundred thirty-two million, two hundred twenty-one thousand, four hundred forty".
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