[go: up one dir, main page]

Search a number
-
+
222011200 = 26521967109
BaseRepresentation
bin11010011101110…
…01111101000000
3120110202100010001
431032321331000
5423313324300
634010245344
75334030655
oct1516717500
9513670101
10222011200
11104357334
1262426854
1336cc2c98
14216b1c2c
151475616a
hexd3b9f40

222011200 has 168 divisors, whose sum is σ = 588975200. Its totient is φ = 82114560.

The previous prime is 222011191. The next prime is 222011201. The reversal of 222011200 is 2110222.

It is a super-3 number, since 3×2220112003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036746 + ... + 2036854.

Almost surely, 2222011200 is an apocalyptic number.

222011200 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 222011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294487600).

222011200 is an abundant number, since it is smaller than the sum of its proper divisors (366964000).

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

222011200 is a wasteful number, since it uses less digits than its factorization.

222011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 222011200 is about 14900.0402684020. The cubic root of 222011200 is about 605.5150771448.

Adding to 222011200 its reverse (2110222), we get a palindrome (224121422).

The spelling of 222011200 in words is "two hundred twenty-two million, eleven thousand, two hundred".