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220200020002200 = 233527461853133327
BaseRepresentation
bin110010000100010101001111…
…111110001100010110011000
31001212122220202000000110120210
4302010111033332030112120
5212330224120110032300
62100154254230251120
764244632525322040
oct6204251776142630
91055586660013523
10220200020002200
1164187338763527
12208442a51b6aa0
1395b3a07a761b4
143c53a4888c720
151a6cd93eeb050
hexc8454ff8c598

220200020002200 has 384 divisors, whose sum is σ = 782751920670720. Its totient is φ = 50163000883200.

The previous prime is 220200020002199. The next prime is 220200020002201. The reversal of 220200020002200 is 2200020002022.

It is an interprime number because it is at equal distance from previous prime (220200020002199) and next prime (220200020002201).

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220200020002201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1651511937 + ... + 1651645263.

It is an arithmetic number, because the mean of its divisors is an integer number (2038416460080).

Almost surely, 2220200020002200 is an apocalyptic number.

220200020002200 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 220200020002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391375960335360).

220200020002200 is an abundant number, since it is smaller than the sum of its proper divisors (562551900668520).

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

220200020002200 is a wasteful number, since it uses less digits than its factorization.

220200020002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134667 (or 134658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 220200020002200 its reverse (2200020002022), we get a palindrome (222400040004222).

The spelling of 220200020002200 in words is "two hundred twenty trillion, two hundred billion, twenty million, two thousand, two hundred".