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2221013130 = 235719953147
BaseRepresentation
bin1000010001100001…
…1111100010001010
312201210020011020120
42010120133202022
514022034410010
61004220004110
7106016204640
oct20430374212
95653204216
102221013130
11a3a782046
1251b990636
132951aac6b
14170d8b190
15ceebce70
hex8461f88a

2221013130 has 64 divisors (see below), whose sum is σ = 6122649600. Its totient is φ = 505099584.

The previous prime is 2221013107. The next prime is 2221013143. The reversal of 2221013130 is 313101222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15217 + ... + 68363.

It is an arithmetic number, because the mean of its divisors is an integer number (95666400).

Almost surely, 22221013130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061324800).

2221013130 is an abundant number, since it is smaller than the sum of its proper divisors (3901636470).

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

2221013130 is a wasteful number, since it uses less digits than its factorization.

2221013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53363.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2221013130 is about 47127.6259745810. The cubic root of 2221013130 is about 1304.7191656521.

Adding to 2221013130 its reverse (313101222), we get a palindrome (2534114352).

The spelling of 2221013130 in words is "two billion, two hundred twenty-one million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 199 210 398 597 995 1194 1393 1990 2786 2985 4179 5970 6965 8358 13930 20895 41790 53147 106294 159441 265735 318882 372029 531470 744058 797205 1116087 1594410 1860145 2232174 3720290 5580435 10576253 11160870 21152506 31728759 52881265 63457518 74033771 105762530 148067542 158643795 222101313 317287590 370168855 444202626 740337710 1110506565 2221013130