Search a number
-
+
20002200 = 23352173753
BaseRepresentation
bin100110001001…
…1010110011000
31101122012212020
41030103112120
520110032300
61552414440
7332005311
oct114232630
941565766
1020002200
1110321a49
126847420
1341b442a
142929608
151b518a0
hex1313598

20002200 has 192 divisors, whose sum is σ = 68700960. Its totient is φ = 4792320.

The previous prime is 20002189. The next prime is 20002201. The reversal of 20002200 is 220002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

20002200 is a modest number, since divided by 2200 gives 2000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 377374 + ... + 377426.

Almost surely, 220002200 is an apocalyptic number.

20002200 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 20002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34350480).

20002200 is an abundant number, since it is smaller than the sum of its proper divisors (48698760).

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

20002200 is a wasteful number, since it uses less digits than its factorization.

20002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 20002200 is about 4472.3819157134. The cubic root of 20002200 is about 271.4517141592.

Adding to 20002200 its reverse (220002), we get a palindrome (20222202).

It can be divided in two parts, 20002 and 200, that added together give a palindrome (20202).

The spelling of 20002200 in words is "twenty million, two thousand, two hundred".