Base | Representation |
---|---|
bin | 100011111010011… |
… | …0000011100001000 |
3 | 10002222102222000200 |
4 | 1013310300130020 |
5 | 4431440342412 |
6 | 315323332200 |
7 | 41601302124 |
oct | 10764603410 |
9 | 3088388020 |
10 | 1205012232 |
11 | 56921a586 |
12 | 297681060 |
13 | 16285a9b8 |
14 | b6076584 |
15 | 70bca9dc |
hex | 47d30708 |
1205012232 has 36 divisors (see below), whose sum is σ = 3264372735. Its totient is φ = 401572560.
The previous prime is 1205012231. The next prime is 1205012233. The reversal of 1205012232 is 2322105021.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (1205012231) and next prime (1205012233).
It can be written as a sum of positive squares in only one way, i.e., 602506116 + 602506116 = 24546^2 + 24546^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=24546.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1205012231) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 292507 + ... + 296597.
Almost surely, 21205012232 is an apocalyptic number.
1205012232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1205012232 is an abundant number, since it is smaller than the sum of its proper divisors (2059360503).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1205012232 is an frugal number, since it uses more digits than its factorization.
1205012232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8194 (or 4096 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 1205012232 is about 34713.2861020100. The cubic root of 1205012232 is about 1064.1360393830.
Multiplying 1205012232 by its sum of digits (18), we get a square (21690220176 = 1472762).
1205012232 divided by its sum of digits (18) gives a square (66945124 = 81822).
Adding to 1205012232 its reverse (2322105021), we get a palindrome (3527117253).
The spelling of 1205012232 in words is "one billion, two hundred five million, twelve thousand, two hundred thirty-two".
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