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2241342240 = 25354669463
BaseRepresentation
bin1000010110011000…
…0010101100100000
312210012110222112120
42011212002230200
514042240422430
61010223424240
7106354044324
oct20546025440
95705428476
102241342240
11a501a7665
12526755080
13299478117
1417395d984
15d1b86610
hex85982b20

2241342240 has 48 divisors (see below), whose sum is σ = 7060229568. Its totient is φ = 597691136.

The previous prime is 2241342217. The next prime is 2241342289. The reversal of 2241342240 is 422431422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2241342240.

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, 2334252 + ... + 2335211.

It is an arithmetic number, because the mean of its divisors is an integer number (147088116).

Almost surely, 22241342240 is an apocalyptic number.

2241342240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241342240 is an abundant number, since it is smaller than the sum of its proper divisors (4818887328).

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

2241342240 is a wasteful number, since it uses less digits than its factorization.

2241342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669481 (or 4669473 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2241342240 is about 47342.8161393046. The cubic root of 2241342240 is about 1308.6878145144.

Adding to 2241342240 its reverse (422431422), we get a palindrome (2663773662).

The spelling of 2241342240 in words is "two billion, two hundred forty-one million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4669463 9338926 14008389 18677852 23347315 28016778 37355704 46694630 56033556 70041945 74711408 93389260 112067112 140083890 149422816 186778520 224134224 280167780 373557040 448268448 560335560 747114080 1120671120 2241342240