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2241311240 = 235712763029
BaseRepresentation
bin1000010110010111…
…1011001000001000
312210012102102000102
42011211323020020
514042233424430
61010223024532
7106353555050
oct20545731010
95705372012
102241311240
11a50186343
1252673b148
13299466c8c
14173952560
15d1b7c345
hex8597b208

2241311240 has 64 divisors (see below), whose sum is σ = 5808844800. Its totient is φ = 762386688.

The previous prime is 2241311213. The next prime is 2241311273. The reversal of 2241311240 is 421131422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 4046 + ... + 67074.

It is an arithmetic number, because the mean of its divisors is an integer number (90763200).

Almost surely, 22241311240 is an apocalyptic number.

2241311240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904422400).

2241311240 is an abundant number, since it is smaller than the sum of its proper divisors (3567533560).

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

2241311240 is a wasteful number, since it uses less digits than its factorization.

2241311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63174 (or 63170 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2241311240 is about 47342.4887389753. The cubic root of 2241311240 is about 1308.6817810004.

Adding to 2241311240 its reverse (421131422), we get a palindrome (2662442662).

The spelling of 2241311240 in words is "two billion, two hundred forty-one million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1778 2540 3556 4445 5080 7112 8890 17780 35560 63029 126058 252116 315145 441203 504232 630290 882406 1260580 1764812 2206015 2521160 3529624 4412030 8004683 8824060 16009366 17648120 32018732 40023415 56032781 64037464 80046830 112065562 160093660 224131124 280163905 320187320 448262248 560327810 1120655620 2241311240