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2212301140 = 2257672271039
BaseRepresentation
bin1000001111011101…
…0000100101010100
312201011211112122021
42003313100211110
514012322114030
61003305142524
7105552151360
oct20367204524
95634745567
102212301140
11a35871655
12518a8aa44
1329344a73a
1416db602a0
15ce34b97a
hex83dd0954

2212301140 has 96 divisors (see below), whose sum is σ = 5417717760. Its totient is φ = 743174784.

The previous prime is 2212301129. The next prime is 2212301149. The reversal of 2212301140 is 411032122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212301149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128741 + ... + 2129779.

It is an arithmetic number, because the mean of its divisors is an integer number (56434560).

Almost surely, 22212301140 is an apocalyptic number.

2212301140 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 2212301140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708858880).

2212301140 is an abundant number, since it is smaller than the sum of its proper divisors (3205416620).

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

2212301140 is a wasteful number, since it uses less digits than its factorization.

2212301140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2212301140 is about 47035.1054001158. The cubic root of 2212301140 is about 1303.0109970217.

Adding to 2212301140 its reverse (411032122), we get a palindrome (2623333262).

The spelling of 2212301140 in words is "two billion, two hundred twelve million, three hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 227 268 335 454 469 670 908 938 1039 1135 1340 1589 1876 2078 2270 2345 3178 4156 4540 4690 5195 6356 7273 7945 9380 10390 14546 15209 15890 20780 29092 30418 31780 36365 60836 69613 72730 76045 106463 139226 145460 152090 212926 235853 278452 304180 348065 425852 471706 487291 532315 696130 943412 974582 1064630 1179265 1392260 1650971 1949164 2129260 2358530 2436455 3301942 4717060 4872910 6603884 8254855 9745820 15802151 16509710 31604302 33019420 63208604 79010755 110615057 158021510 221230114 316043020 442460228 553075285 1106150570 2212301140