Search a number
-
+
200111022 = 232371132659
BaseRepresentation
bin10111110110101…
…11001110101110
3111221112200201100
423323113032232
5402212023042
631505023530
74646626026
oct1373271656
9457480640
10200111022
11a2a59411
1257024ba6
13325c59b7
141c810a86
151287c24c
hexbed73ae

200111022 has 48 divisors (see below), whose sum is σ = 449401680. Its totient is φ = 64302336.

The previous prime is 200111011. The next prime is 200111027. The reversal of 200111022 is 220111002.

It is a super-2 number, since 2×2001110222 = 80088842251768968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200110995 and 200111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200111027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73929 + ... + 76587.

It is an arithmetic number, because the mean of its divisors is an integer number (9362535).

Almost surely, 2200111022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200111022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224700840).

200111022 is an abundant number, since it is smaller than the sum of its proper divisors (249290658).

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

200111022 is a wasteful number, since it uses less digits than its factorization.

200111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 200111022 is about 14146.0602996029. The cubic root of 200111022 is about 584.9117377250.

Adding to 200111022 its reverse (220111002), we get a palindrome (420222024).

It can be divided in two parts, 2001 and 11022, that multiplied together give a palindrome (22055022).

The spelling of 200111022 in words is "two hundred million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 113 222 226 333 339 666 678 1017 2034 2659 4181 5318 7977 8362 12543 15954 23931 25086 37629 47862 75258 98383 196766 295149 300467 590298 600934 885447 901401 1770894 1802802 2704203 5408406 11117279 22234558 33351837 66703674 100055511 200111022