Base | Representation |
---|---|
bin | 10100110001111001… |
… | …100110110010000000 |
3 | 2010120222000002222121 |
4 | 110301321212302000 |
5 | 331143334133440 |
6 | 14130000014024 |
7 | 1416625023154 |
oct | 246171466200 |
9 | 63528002877 |
10 | 22312021120 |
11 | 950a610784 |
12 | 43a8301314 |
13 | 214769b57c |
14 | 11193a3064 |
15 | 8a8c1434a |
hex | 531e66c80 |
22312021120 has 32 divisors (see below), whose sum is σ = 53339677020. Its totient is φ = 8924808192.
The previous prime is 22312021097. The next prime is 22312021129. The reversal of 22312021120 is 2112021322.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 20302830144 + 2009190976 = 142488^2 + 44824^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-3 number, since 3×223120211203 (a number of 32 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 22312021094 and 22312021103.
It is not an unprimeable number, because it can be changed into a prime (22312021129) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17430627 + ... + 17431906.
Almost surely, 222312021120 is an apocalyptic number.
22312021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22312021120 is an abundant number, since it is smaller than the sum of its proper divisors (31027655900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22312021120 is an equidigital number, since it uses as much as digits as its factorization.
22312021120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34862552 (or 34862540 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
Adding to 22312021120 its reverse (2112021322), we get a palindrome (24424042442).
It can be divided in two parts, 2231202 and 1120, that added together give a palindrome (2232322).
The spelling of 22312021120 in words is "twenty-two billion, three hundred twelve million, twenty-one thousand, one hundred twenty".
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