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2242240240 = 245271310331
BaseRepresentation
bin1000010110100101…
…1101111011110000
312210021011121100211
42011221131323300
514043003141430
61010254553504
7106364504362
oct20551357360
95707147324
102242240240
11a50760309
12526b08894
13299700a96
14173b14d32
15d1cb272a
hex85a5def0

2242240240 has 40 divisors (see below), whose sum is σ = 5215634928. Its totient is φ = 896478720.

The previous prime is 2242240213. The next prime is 2242240243. The reversal of 2242240240 is 420422422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242240243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211875 + ... + 222205.

Almost surely, 22242240240 is an apocalyptic number.

2242240240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242240240 is an abundant number, since it is smaller than the sum of its proper divisors (2973394688).

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

2242240240 is a wasteful number, since it uses less digits than its factorization.

2242240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13057 (or 13051 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2242240240 is about 47352.2992050017. The cubic root of 2242240240 is about 1308.8625676485.

Adding to 2242240240 its reverse (420422422), we get a palindrome (2662662662).

The spelling of 2242240240 in words is "two billion, two hundred forty-two million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2713 5426 10331 10852 13565 20662 21704 27130 41324 43408 51655 54260 82648 103310 108520 165296 206620 217040 413240 826480 28028003 56056006 112112012 140140015 224224024 280280030 448448048 560560060 1121120120 2242240240