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2240155040 = 25533142299
BaseRepresentation
bin1000010110000110…
…0000110110100000
312210010020200000012
42011201200312200
514041434430130
61010142144052
7106341001154
oct20541406640
95703220005
102240155040
11a4a566702
12526282028
13299150936
14173731064
15d19ee995
hex85860da0

2240155040 has 48 divisors (see below), whose sum is σ = 5308480800. Its totient is φ = 893333760.

The previous prime is 2240155037. The next prime is 2240155061. The reversal of 2240155040 is 405510422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2240154997 and 2240155015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31811 + ... + 74109.

It is an arithmetic number, because the mean of its divisors is an integer number (110593350).

Almost surely, 22240155040 is an apocalyptic number.

2240155040 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 2240155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654240400).

2240155040 is an abundant number, since it is smaller than the sum of its proper divisors (3068325760).

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

2240155040 is a wasteful number, since it uses less digits than its factorization.

2240155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42645 (or 42637 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2240155040 is about 47330.2761454019. The cubic root of 2240155040 is about 1308.4567106481.

Adding to 2240155040 its reverse (405510422), we get a palindrome (2645665462).

The spelling of 2240155040 in words is "two billion, two hundred forty million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 331 662 1324 1655 2648 3310 5296 6620 10592 13240 26480 42299 52960 84598 169196 211495 338392 422990 676784 845980 1353568 1691960 3383920 6767840 14000969 28001938 56003876 70004845 112007752 140009690 224015504 280019380 448031008 560038760 1120077520 2240155040