Base | Representation |
---|---|
bin | 100000010011100010010… |
… | …100011011100010100000 |
3 | 21212020012121220110201200 |
4 | 200103202110123202200 |
5 | 242333030013144412 |
6 | 4415504243201200 |
7 | 316250446523412 |
oct | 40234224334240 |
9 | 7766177813650 |
10 | 2220000131232 |
11 | 786551220664 |
12 | 2ba301676200 |
13 | 1314642a5b10 |
14 | 7963cc8c9b2 |
15 | 3cb321e69dc |
hex | 204e251b8a0 |
2220000131232 has 144 divisors (see below), whose sum is σ = 6808347753480. Its totient is φ = 682112710656.
The previous prime is 2220000131231. The next prime is 2220000131233. The reversal of 2220000131232 is 2321310000222.
It is an interprime number because it is at equal distance from previous prime (2220000131231) and next prime (2220000131233).
It can be written as a sum of positive squares in 4 ways, for example, as 1453191674256 + 766808456976 = 1205484^2 + 875676^2 .
It is a tau number, because it is divible by the number of its divisors (144).
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 (2220000131231) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2236338 + ... + 3072654.
Almost surely, 22220000131232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2220000131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404173876740).
2220000131232 is an abundant number, since it is smaller than the sum of its proper divisors (4588347622248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220000131232 is a wasteful number, since it uses less digits than its factorization.
2220000131232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 837055 (or 837044 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 2220000131232 its reverse (2321310000222), we get a palindrome (4541310131454).
The spelling of 2220000131232 in words is "two trillion, two hundred twenty billion, one hundred thirty-one thousand, two hundred thirty-two".
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