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2210002002200 = 2352431607159911
BaseRepresentation
bin100000001010001110011…
…000100110000100011000
321211021101211122220002102
4200022032120212010120
5242202041003032300
64411132204422532
7315444624033236
oct40121630460430
97737354586072
102210002002200
11782290574303
122b8391247a48
1313052cac2135
1478d71095956
153c7495a80d5
hex2028e626118

2210002002200 has 96 divisors (see below), whose sum is σ = 5261053628160. Its totient is φ = 862899945600.

The previous prime is 2210002002161. The next prime is 2210002002203. The reversal of 2210002002200 is 22002000122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210002002203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13740245 + ... + 13900155.

It is an arithmetic number, because the mean of its divisors is an integer number (54802641960).

Almost surely, 22210002002200 is an apocalyptic number.

2210002002200 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 2210002002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630526814080).

2210002002200 is an abundant number, since it is smaller than the sum of its proper divisors (3051051625960).

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

2210002002200 is a wasteful number, since it uses less digits than its factorization.

2210002002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161577 (or 161568 counting only the distinct ones).

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

Adding to 2210002002200 its reverse (22002000122), we get a palindrome (2232004002322).

The spelling of 2210002002200 in words is "two trillion, two hundred ten billion, two million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1607 1720 2150 3214 4300 6428 8035 8600 12856 16070 32140 40175 64280 69101 80350 138202 159911 160700 276404 319822 321400 345505 552808 639644 691010 799555 1279288 1382020 1599110 1727525 2764040 3198220 3455050 3997775 6396440 6876173 6910100 7995550 13752346 13820200 15991100 27504692 31982200 34380865 55009384 68761730 137523460 171904325 256976977 275046920 343808650 513953954 687617300 1027907908 1284884885 1375234600 2055815816 2569769770 5139539540 6424424425 10279079080 11050010011 12848848850 22100020022 25697697700 44200040044 51395395400 55250050055 88400080088 110500100110 221000200220 276250250275 442000400440 552500500550 1105001001100 2210002002200