Search a number
-
+
2212612182840 = 2335239165746559
BaseRepresentation
bin100000001100101001111…
…101101001001100111000
321211112010202011210210110
4200030221331221030320
5242222412204322330
64412243205544320
7315566410145313
oct40145175511470
97745122153713
102212612182840
117833aa992694
122b899b4150a0
131308577bac17
147913b9c797a
153c84d7e9db0
hex20329f69338

2212612182840 has 128 divisors (see below), whose sum is σ = 6669775872000. Its totient is φ = 587193965568.

The previous prime is 2212612182829. The next prime is 2212612182857. The reversal of 2212612182840 is 482812162122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47499481 + ... + 47546039.

It is an arithmetic number, because the mean of its divisors is an integer number (52107624000).

Almost surely, 22212612182840 is an apocalyptic number.

2212612182840 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 2212612182840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334887936000).

2212612182840 is an abundant number, since it is smaller than the sum of its proper divisors (4457163689160).

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

2212612182840 is a wasteful number, since it uses less digits than its factorization.

2212612182840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48469 (or 48465 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 2212612182840 in words is "two trillion, two hundred twelve billion, six hundred twelve million, one hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1657 1912 2390 2868 3314 3585 4780 4971 5736 6628 7170 8285 9560 9942 13256 14340 16570 19884 24855 28680 33140 39768 46559 49710 66280 93118 99420 139677 186236 198840 232795 279354 372472 396023 465590 558708 698385 792046 931180 1117416 1188069 1396770 1584092 1862360 1980115 2376138 2793540 3168184 3960230 4752276 5587080 5940345 7920460 9504552 11127601 11880690 15840920 22255202 23761380 33382803 44510404 47522760 55638005 66765606 77148263 89020808 111276010 133531212 154296526 166914015 222552020 231444789 267062424 308593052 333828030 385741315 445104040 462889578 617186104 667656060 771482630 925779156 1157223945 1335312120 1542965260 1851558312 2314447890 3085930520 4628895780 9257791560 18438434857 36876869714 55315304571 73753739428 92192174285 110630609142 147507478856 184384348570 221261218284 276576522855 368768697140 442522436568 553153045710 737537394280 1106306091420 2212612182840