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2210200022000 = 245317121353591
BaseRepresentation
bin100000001010011010001…
…011111110101111110000
321211021220122021100012002
4200022122023332233300
5242202442201201000
64411204000553132
7315452550132365
oct40123213765760
97737818240162
102210200022000
11782382324533
122b84276227a8
13130561b35009
1478d8d4c046c
153c75bb708d5
hex2029a2febf0

2210200022000 has 160 divisors (see below), whose sum is σ = 5663402769024. Its totient is φ = 831373824000.

The previous prime is 2210200021999. The next prime is 2210200022021. The reversal of 2210200022000 is 2200020122.

2210200022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41215205 + ... + 41268795.

Almost surely, 22210200022000 is an apocalyptic number.

2210200022000 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 2210200022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831701384512).

2210200022000 is an abundant number, since it is smaller than the sum of its proper divisors (3453202747024).

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

2210200022000 is a wasteful number, since it uses less digits than its factorization.

2210200022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54844 (or 54828 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2210200022000 its reverse (2200020122), we get a palindrome (2212400042122).

The spelling of 2210200022000 in words is "two trillion, two hundred ten billion, two hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1213 1360 1700 2000 2125 2426 3400 4250 4852 6065 6800 8500 9704 12130 17000 19408 20621 24260 30325 34000 41242 48520 53591 60650 82484 97040 103105 107182 121300 151625 164968 206210 214364 242600 267955 303250 329936 412420 428728 485200 515525 535910 606500 824840 857456 911047 1031050 1071820 1213000 1339775 1649680 1822094 2062100 2143640 2426000 2577625 2679550 3644188 4124200 4287280 4555235 5155250 5359100 6698875 7288376 8248400 9110470 10310500 10718200 13397750 14576752 18220940 20621000 21436400 22776175 26795500 36441880 41242000 45552350 53591000 65005883 72883760 91104700 107182000 113880875 130011766 182209400 227761750 260023532 325029415 364418800 455523500 520047064 650058830 911047000 1040094128 1105100011 1300117660 1625147075 1822094000 2210200022 2600235320 3250294150 4420400044 5200470640 5525500055 6500588300 8125735375 8840800088 11051000110 13001176600 16251470750 17681600176 22102000220 26002353200 27627500275 32502941500 44204000440 55255000550 65005883000 88408000880 110510001100 130011766000 138137501375 221020002200 276275002750 442040004400 552550005500 1105100011000 2210200022000