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2210212200200 = 235229381071069
BaseRepresentation
bin100000001010011010111…
…010011011111100001000
321211021221111012001112112
4200022122322123330020
5242203003310401300
64411205114001452
7315453055503344
oct40123272337410
97737844161475
102210212200200
11782389192164
122b842b716288
1313056450a154
1478d90d70624
153c75cc78e35
hex2029ae9bf08

2210212200200 has 48 divisors (see below), whose sum is σ = 5315941426500. Its totient is φ = 853599192320.

The previous prime is 2210212200187. The next prime is 2210212200221. The reversal of 2210212200200 is 20022120122.

It can be written as a sum of positive squares in 6 ways, for example, as 849298637476 + 1360913562724 = 921574^2 + 1166582^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 190529735 + ... + 190541334.

Almost surely, 22210212200200 is an apocalyptic number.

2210212200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210212200200 is an abundant number, since it is smaller than the sum of its proper divisors (3105729226300).

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

2210212200200 is a wasteful number, since it uses less digits than its factorization.

2210212200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381071114 (or 381071105 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2210212200200 its reverse (20022120122), we get a palindrome (2230234320322).

The spelling of 2210212200200 in words is "two trillion, two hundred ten billion, two hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 381071069 762142138 1524284276 1905355345 3048568552 3810710690 7621421380 9526776725 11051061001 15242842760 19053553450 22102122002 38107106900 44204244004 55255305005 76214213800 88408488008 110510610010 221021220020 276276525025 442042440040 552553050050 1105106100100 2210212200200