Base | Representation |
---|---|
bin | 11010100010001… |
… | …00111000000000 |
3 | 120111211020200000 |
4 | 31101010320000 |
5 | 423440031344 |
6 | 34030400000 |
7 | 5341620636 |
oct | 1521047000 |
9 | 514736600 |
10 | 222580224 |
11 | 1047058a9 |
12 | 62660000 |
13 | 37161c99 |
14 | 217bd356 |
15 | 14819a69 |
hex | d444e00 |
222580224 has 120 divisors (see below), whose sum is σ = 666545880. Its totient is φ = 74151936.
The previous prime is 222580213. The next prime is 222580229. The reversal of 222580224 is 422085222.
It is a super-2 number, since 2×2225802242 = 99083912231780352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222580229) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123522 + ... + 125310.
It is an arithmetic number, because the mean of its divisors is an integer number (5554549).
Almost surely, 2222580224 is an apocalyptic number.
222580224 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 222580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333272940).
222580224 is an abundant number, since it is smaller than the sum of its proper divisors (443965656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222580224 is an frugal number, since it uses more digits than its factorization.
222580224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1822 (or 1794 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 27.
The square root of 222580224 is about 14919.1227624147. The cubic root of 222580224 is about 606.0319559661.
The spelling of 222580224 in words is "two hundred twenty-two million, five hundred eighty thousand, two hundred twenty-four".
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