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2243220240 = 243517215431
BaseRepresentation
bin1000010110110100…
…1101001100010000
312210100000101200010
42011231031030100
514043231021430
61010331554520
7106406025462
oct20555151420
95710011603
102243220240
11a5126a628
125272bba40
13299984b71
14173ccc132
15d1e07cb0
hex85b4d310

2243220240 has 80 divisors (see below), whose sum is σ = 6959304576. Its totient is φ = 597734400.

The previous prime is 2243220229. The next prime is 2243220241. The reversal of 2243220240 is 420223422.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2243220241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 410325 + ... + 415755.

Almost surely, 22243220240 is an apocalyptic number.

2243220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243220240 is an abundant number, since it is smaller than the sum of its proper divisors (4716084336).

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

2243220240 is a wasteful number, since it uses less digits than its factorization.

2243220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2243220240 is about 47362.6460409467. The cubic root of 2243220240 is about 1309.0532249604.

Adding to 2243220240 its reverse (420223422), we get a palindrome (2663443662).

The spelling of 2243220240 in words is "two billion, two hundred forty-three million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1721 3442 5163 5431 6884 8605 10326 10862 13768 16293 17210 20652 21724 25815 27155 27536 32586 34420 41304 43448 51630 54310 65172 68840 81465 82608 86896 103260 108620 130344 137680 162930 206520 217240 260688 325860 413040 434480 651720 1303440 9346751 18693502 28040253 37387004 46733755 56080506 74774008 93467510 112161012 140201265 149548016 186935020 224322024 280402530 373870040 448644048 560805060 747740080 1121610120 2243220240