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2243131110 = 2335116911093
BaseRepresentation
bin1000010110110011…
…0111011011100110
312210022211212102000
42011230313123212
514043220143420
61010330030130
7106405204563
oct20554673346
95708755360
102243131110
11a51209670
12527278346
1329995341c
14173ca786a
15d1ddb690
hex85b376e6

2243131110 has 128 divisors (see below), whose sum is σ = 6540894720. Its totient is φ = 542505600.

The previous prime is 2243131091. The next prime is 2243131133. The reversal of 2243131110 is 111313422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2051724 + ... + 2052816.

It is an arithmetic number, because the mean of its divisors is an integer number (51100740).

Almost surely, 22243131110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243131110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270447360).

2243131110 is an abundant number, since it is smaller than the sum of its proper divisors (4297763610).

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

2243131110 is a wasteful number, since it uses less digits than its factorization.

2243131110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2243131110 is about 47361.7051002178. The cubic root of 2243131110 is about 1309.0358871682.

Adding to 2243131110 its reverse (111313422), we get a palindrome (2354444532).

The spelling of 2243131110 in words is "two billion, two hundred forty-three million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 691 990 1093 1382 1485 2073 2186 2970 3279 3455 4146 5465 6219 6558 6910 7601 9837 10365 10930 12023 12438 15202 16395 18657 19674 20730 22803 24046 29511 31095 32790 36069 37314 38005 45606 49185 59022 60115 62190 68409 72138 76010 93285 98370 108207 114015 120230 136818 147555 180345 186570 205227 216414 228030 295110 324621 342045 360690 410454 541035 649242 684090 755263 1026135 1082070 1510526 1623105 2052270 2265789 3246210 3776315 4531578 6797367 7552630 8307893 11328945 13594734 16615786 20392101 22657890 24923679 33986835 40784202 41539465 49847358 67973670 74771037 83078930 101960505 124618395 149542074 203921010 224313111 249236790 373855185 448626222 747710370 1121565555 2243131110