Base | Representation |
---|---|
bin | 11010100010011… |
… | …00110100100000 |
3 | 120111212220022100 |
4 | 31101030310200 |
5 | 423442102033 |
6 | 34031210400 |
7 | 5342114550 |
oct | 1521146440 |
9 | 514786270 |
10 | 222612768 |
11 | 1047282a4 |
12 | 62676a00 |
13 | 37173a41 |
14 | 217cb160 |
15 | 14824513 |
hex | d44cd20 |
222612768 has 144 divisors (see below), whose sum is σ = 755104896. Its totient is φ = 60825600.
The previous prime is 222612749. The next prime is 222612779. The reversal of 222612768 is 867216222.
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 (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43968 + ... + 48768.
It is an arithmetic number, because the mean of its divisors is an integer number (5243784).
Almost surely, 2222612768 is an apocalyptic number.
222612768 is a gapful number since it is divisible by the number (28) 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 222612768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377552448).
222612768 is an abundant number, since it is smaller than the sum of its proper divisors (532492128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222612768 is a wasteful number, since it uses less digits than its factorization.
222612768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4847 (or 4836 counting only the distinct ones).
The product of its digits is 32256, while the sum is 36.
The square root of 222612768 is about 14920.2134032996. The cubic root of 222612768 is about 606.0614909991.
The spelling of 222612768 in words is "two hundred twenty-two million, six hundred twelve thousand, seven hundred sixty-eight".
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