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2243424240 = 2432519163993
BaseRepresentation
bin1000010110110111…
…1110111111110000
312210100101202111200
42011231332333300
514043304033430
61010340211200
7106410535311
oct20555767760
95710352450
102243424240
11a51399922
12527399b00
13299a26985
14173d42608
15d1e48460
hex85b7eff0

2243424240 has 120 divisors (see below), whose sum is σ = 7930749840. Its totient is φ = 566756352.

The previous prime is 2243424233. The next prime is 2243424241. The reversal of 2243424240 is 424243422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243424241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68317 + ... + 95676.

It is an arithmetic number, because the mean of its divisors is an integer number (66089582).

Almost surely, 22243424240 is an apocalyptic number.

2243424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243424240 is an abundant number, since it is smaller than the sum of its proper divisors (5687325600).

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

2243424240 is a wasteful number, since it uses less digits than its factorization.

2243424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164031 (or 164022 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2243424240 is about 47364.7995878796. The cubic root of 2243424240 is about 1309.0929058261.

Adding to 2243424240 its reverse (424243422), we get a palindrome (2667667662).

The spelling of 2243424240 in words is "two billion, two hundred forty-three million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 163993 327986 491979 655972 819965 983958 1311944 1475937 1639930 1967916 2459895 2623888 2951874 3115867 3279860 3935832 4919790 5903748 6231734 6559720 7379685 7871664 9347601 9839580 11807496 12463468 13119440 14759370 15579335 18695202 19679160 23614992 24926936 28042803 29518740 31158670 37390404 39358320 46738005 49853872 56085606 59037480 62317340 74780808 93476010 112171212 118074960 124634680 140214015 149561616 186952020 224342424 249269360 280428030 373904040 448684848 560856060 747808080 1121712120 2243424240