Base | Representation |
---|---|
bin | 100100011101001… |
… | …1000001000000000 |
3 | 10011020210011222200 |
4 | 1020322120020000 |
5 | 10001123401340 |
6 | 321214433200 |
7 | 42212363421 |
oct | 11072301000 |
9 | 3136704880 |
10 | 1223262720 |
11 | 578555429 |
12 | 2a1802800 |
13 | 16657a9c4 |
14 | b8667648 |
15 | 725d3330 |
hex | 48e98200 |
1223262720 has 120 divisors (see below), whose sum is σ = 4236582636. Its totient is φ = 326197248.
The previous prime is 1223262713. The next prime is 1223262721. The reversal of 1223262720 is 272623221.
1223262720 is a `hidden beast` number, since 1 + 2 + 2 + 32 + 627 + 2 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1217730816 + 5531904 = 34896^2 + 2352^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is not an unprimeable number, because it can be changed into a prime (1223262721) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3507 + ... + 49586.
Almost surely, 21223262720 is an apocalyptic number.
1223262720 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 1223262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118291318).
1223262720 is an abundant number, since it is smaller than the sum of its proper divisors (3013319916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223262720 is an equidigital number, since it uses as much as digits as its factorization.
1223262720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53122 (or 53103 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 1223262720 is about 34975.1729087935. The cubic root of 1223262720 is about 1069.4814268822.
Adding to 1223262720 its reverse (272623221), we get a palindrome (1495885941).
The spelling of 1223262720 in words is "one billion, two hundred twenty-three million, two hundred sixty-two thousand, seven hundred twenty".
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