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2244243422300 = 225211322774279
BaseRepresentation
bin100000101010000111010…
…101001111110001011100
321221112210011221021000212
4200222013111033301130
5243232202304003200
64434554033111552
7321066305224325
oct40520725176134
97845704837025
102244243422300
117958619a5000
12302b486b85b8
13133828b05c69
147a89c93944c
153d5a0744035
hex20a8754fc5c

2244243422300 has 144 divisors (see below), whose sum is σ = 5380313137920. Its totient is φ = 812482475200.

The previous prime is 2244243422251. The next prime is 2244243422329. The reversal of 2244243422300 is 32243424422.

It is a super-2 number, since 2×22442434223002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30176561 + ... + 30250839.

It is an arithmetic number, because the mean of its divisors is an integer number (37363285680).

Almost surely, 22244243422300 is an apocalyptic number.

2244243422300 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 2244243422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690156568960).

2244243422300 is an abundant number, since it is smaller than the sum of its proper divisors (3136069715620).

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

2244243422300 is a wasteful number, since it uses less digits than its factorization.

2244243422300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74553 (or 74524 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 2244243422300 its reverse (32243424422), we get a palindrome (2276486846722).

The spelling of 2244243422300 in words is "two trillion, two hundred forty-four billion, two hundred forty-three million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 227 242 275 454 484 550 605 908 1100 1135 1210 1331 2270 2420 2497 2662 3025 4540 4994 5324 5675 6050 6655 9988 11350 12100 12485 13310 22700 24970 26620 27467 33275 49940 54934 62425 66550 74279 109868 124850 133100 137335 148558 249700 274670 297116 302137 371395 549340 604274 686675 742790 817069 1208548 1373350 1485580 1510685 1634138 1856975 2746700 3021370 3268276 3713950 4085345 6042740 7427900 7553425 8170690 8987759 15106850 16341380 16861333 17975518 20426725 30213700 33722666 35951036 40853450 44938795 67445332 81706900 84306665 89877590 98865349 168613330 179755180 185474663 197730698 224693975 337226660 370949326 395461396 421533325 449387950 494326745 741898652 843066650 898775900 927373315 988653490 1686133300 1854746630 1977306980 2040221293 2471633725 3709493260 4080442586 4636866575 4943267450 8160885172 9273733150 9886534900 10201106465 18547466300 20402212930 22442434223 40804425860 44884868446 51005532325 89769736892 102011064650 112212171115 204022129300 224424342230 448848684460 561060855575 1122121711150 2244243422300