Search a number
-
+
2221000012200 = 2335217832076089
BaseRepresentation
bin100000010100011101111…
…010101011000110101000
321212022210022100200120010
4200110131322223012220
5242342102000342300
64420151402131520
7316314310420314
oct40243572530650
97768708320503
102221000012200
11786a14672a72
122ba5404b0ba0
131315934a0a68
14796d59a8b44
153cb8eda2a50
hex2051deab1a8

2221000012200 has 96 divisors (see below), whose sum is σ = 6888964881600. Its totient is φ = 591934210560.

The previous prime is 2221000012141. The next prime is 2221000012211. The reversal of 2221000012200 is 22100001222.

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

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 23 ways as a sum of consecutive naturals, for example, 31756 + ... + 2107844.

It is an arithmetic number, because the mean of its divisors is an integer number (71760050850).

Almost surely, 22221000012200 is an apocalyptic number.

2221000012200 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 2221000012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444482440800).

2221000012200 is an abundant number, since it is smaller than the sum of its proper divisors (4667964869400).

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

2221000012200 is a wasteful number, since it uses less digits than its factorization.

2221000012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077891 (or 2077882 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2221000012200 its reverse (22100001222), we get a palindrome (2243100013422).

The spelling of 2221000012200 in words is "two trillion, two hundred twenty-one billion, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1783 3566 5349 7132 8915 10698 14264 17830 21396 26745 35660 42792 44575 53490 71320 89150 106980 133725 178300 213960 267450 356600 534900 1069800 2076089 4152178 6228267 8304356 10380445 12456534 16608712 20760890 24913068 31141335 41521780 49826136 51902225 62282670 83043560 103804450 124565340 155706675 207608900 249130680 311413350 415217800 622826700 1245653400 3701666687 7403333374 11105000061 14806666748 18508333435 22210000122 29613333496 37016666870 44420000244 55525000305 74033333740 88840000488 92541667175 111050000610 148066667480 185083334350 222100001220 277625001525 370166668700 444200002440 555250003050 740333337400 1110500006100 2221000012200