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240242400220 = 225113941112967
BaseRepresentation
bin1101111110111110010…
…0000001101111011100
3211222002220110102120211
43133233210001233130
512414004023301340
6302211004222204
723233300464664
oct3375744015734
9758086412524
10240242400220
11929826320a9
123a68883a964
1319868682c04
14b8b094b1a4
1563b138d5ea
hex37ef901bdc

240242400220 has 48 divisors (see below), whose sum is σ = 509519118528. Its totient is φ = 95144483840.

The previous prime is 240242400127. The next prime is 240242400221. The reversal of 240242400220 is 22004242042.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 240242400191 and 240242400200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240242400221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2070177 + ... + 2183143.

It is an arithmetic number, because the mean of its divisors is an integer number (10614981636).

Almost surely, 2240242400220 is an apocalyptic number.

240242400220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240242400220 is an abundant number, since it is smaller than the sum of its proper divisors (269276718308).

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

240242400220 is a wasteful number, since it uses less digits than its factorization.

240242400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114030 (or 114028 counting only the distinct ones).

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

Adding to 240242400220 its reverse (22004242042), we get a palindrome (262246642262).

The spelling of 240242400220 in words is "two hundred forty billion, two hundred forty-two million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 941 1130 1882 2260 3764 4705 9410 18820 106333 112967 212666 225934 425332 451868 531665 564835 1063330 1129670 2126660 2259340 12765271 25530542 51061084 63826355 106301947 127652710 212603894 255305420 425207788 531509735 1063019470 2126038940 12012120011 24024240022 48048480044 60060600055 120121200110 240242400220