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2221050240 = 27335791627
BaseRepresentation
bin1000010001100010…
…1000100110000000
312201210022001011000
42010120220212000
514022042101430
61004220452000
7106016421063
oct20430504600
95653261130
102221050240
11a3a7a7a12
1251b9aa000
132951c1b16
14170d9a8da
15ceec8e60
hex84628980

2221050240 has 256 divisors, whose sum is σ = 7970688000. Its totient is φ = 584423424.

The previous prime is 2221050229. The next prime is 2221050241. The reversal of 2221050240 is 420501222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221050241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364307 + ... + 1365933.

It is an arithmetic number, because the mean of its divisors is an integer number (31135500).

Almost surely, 22221050240 is an apocalyptic number.

2221050240 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 2221050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985344000).

2221050240 is an abundant number, since it is smaller than the sum of its proper divisors (5749637760).

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

2221050240 is a wasteful number, since it uses less digits than its factorization.

2221050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2221050240 is about 47128.0196910500. The cubic root of 2221050240 is about 1304.7264322846.

Adding to 2221050240 its reverse (420501222), we get a palindrome (2641551462).

The spelling of 2221050240 in words is "two billion, two hundred twenty-one million, fifty thousand, two hundred forty".