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222245320 = 235112321961
BaseRepresentation
bin11010011111100…
…11000111001000
3120111012020021011
431033303013020
5423343322240
634015253304
75336024353
oct1517630710
9514166234
10222245320
111044a7220
126251a234
133707570b
142173329a
15147a06ea
hexd3f31c8

222245320 has 64 divisors (see below), whose sum is σ = 569255040. Its totient is φ = 77299200.

The previous prime is 222245311. The next prime is 222245321. The reversal of 222245320 is 23542222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 222245291 and 222245300.

It is not an unprimeable number, because it can be changed into a prime (222245321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861 + ... + 21100.

It is an arithmetic number, because the mean of its divisors is an integer number (8894610).

Almost surely, 2222245320 is an apocalyptic number.

222245320 is a gapful number since it is divisible by the number (20) 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 222245320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284627520).

222245320 is an abundant number, since it is smaller than the sum of its proper divisors (347009720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222245320 is a wasteful number, since it uses less digits than its factorization.

222245320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22006 (or 22002 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 222245320 is about 14907.8945528871. The cubic root of 222245320 is about 605.7278492742.

Adding to 222245320 its reverse (23542222), we get a palindrome (245787542).

It can be divided in two parts, 222 and 245320, that added together give a palindrome (245542).

The spelling of 222245320 in words is "two hundred twenty-two million, two hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 21961 43922 87844 109805 175688 219610 241571 439220 483142 505103 878440 966284 1010206 1207855 1932568 2020412 2415710 2525515 4040824 4831420 5051030 5556133 9662840 10102060 11112266 20204120 22224532 27780665 44449064 55561330 111122660 222245320