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2244121042300 = 22522313937918521
BaseRepresentation
bin100000101010000000000…
…010011001110101111100
321221112110122122201020021
4200222000002121311330
5243231424441323200
64434533542101524
7321063261061324
oct40520002316574
97845418581207
102244121042300
117957a9908105
12302b1371a8a4
13133809657967
147a88a5a0284
153d594b1d41a
hex20a80099d7c

2244121042300 has 144 divisors (see below), whose sum is σ = 5131809043200. Its totient is φ = 850148006400.

The previous prime is 2244121042291. The next prime is 2244121042309. The reversal of 2244121042300 is 32401214422.

It is an interprime number because it is at equal distance from previous prime (2244121042291) and next prime (2244121042309).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244121042309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121157040 + ... + 121175560.

It is an arithmetic number, because the mean of its divisors is an integer number (35637562800).

Almost surely, 22244121042300 is an apocalyptic number.

2244121042300 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 2244121042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565904521600).

2244121042300 is an abundant number, since it is smaller than the sum of its proper divisors (2887688000900).

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

2244121042300 is a wasteful number, since it uses less digits than its factorization.

2244121042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19076 (or 19069 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2244121042300 its reverse (32401214422), we get a palindrome (2276522256722).

The spelling of 2244121042300 in words is "two trillion, two hundred forty-four billion, one hundred twenty-one million, forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 139 230 278 379 460 556 575 695 758 1150 1390 1516 1895 2300 2780 3197 3475 3790 6394 6950 7580 8717 9475 12788 13900 15985 17434 18521 18950 31970 34868 37042 37900 43585 52681 63940 74084 79925 87170 92605 105362 159850 174340 185210 210724 217925 263405 319700 370420 425983 435850 463025 526810 851966 871700 926050 1053620 1211663 1317025 1703932 1852100 2129915 2423326 2574419 2634050 4259830 4846652 5148838 5268100 6058315 7019459 8519660 10297676 10649575 12116630 12872095 14038918 21299150 24233260 25744190 28077836 30291575 35097295 42598300 51488380 59211637 60583150 64360475 70194590 118423274 121166300 128720950 140389180 161447557 175486475 236846548 257441900 296058185 322895114 350972950 592116370 645790228 701945900 807237785 975704801 1184232740 1480290925 1614475570 1951409602 2960581850 3228951140 3902819204 4036188925 4878524005 5921163700 8072377850 9757048010 16144755700 19514096020 22441210423 24392620025 44882420846 48785240050 89764841692 97570480100 112206052115 224412104230 448824208460 561030260575 1122060521150 2244121042300