Base | Representation |
---|---|
bin | 10100101100100011… |
… | …011001001100100000 |
3 | 2010100201012102111220 |
4 | 110230203121030200 |
5 | 331002402442344 |
6 | 14113033135040 |
7 | 1414455352200 |
oct | 245443311440 |
9 | 63321172456 |
10 | 22222312224 |
11 | 9473a090a2 |
12 | 438225a480 |
13 | 2131c1bc98 |
14 | 110b4d0400 |
15 | 8a0de3c19 |
hex | 52c8d9320 |
22222312224 has 144 divisors (see below), whose sum is σ = 70808084928. Its totient is φ = 6073148928.
The previous prime is 22222312213. The next prime is 22222312243. The reversal of 22222312224 is 42221322222.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 22222312194 and 22222312203.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5494 + ... + 210890.
It is an arithmetic number, because the mean of its divisors is an integer number (491722812).
Almost surely, 222222312224 is an apocalyptic number.
22222312224 is a gapful number since it is divisible by the number (24) 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 22222312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35404042464).
22222312224 is an abundant number, since it is smaller than the sum of its proper divisors (48585772704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22222312224 is a wasteful number, since it uses less digits than its factorization.
22222312224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 205447 (or 205432 counting only the distinct ones).
The product of its digits is 3072, while the sum is 24.
Adding to 22222312224 its reverse (42221322222), we get a palindrome (64443634446).
The spelling of 22222312224 in words is "twenty-two billion, two hundred twenty-two million, three hundred twelve thousand, two hundred twenty-four".
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