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2244023004420 = 22325831017714759
BaseRepresentation
bin100000101001111010001…
…100011010110100000100
321221112012211011212112200
4200221322030122310010
5243231224342120140
64434520120514500
7321060660550521
oct40517214326404
97845184155480
102244023004420
1179575953686a
12302aa691ba30
131337c2250292
147a87b560148
153d58b205030
hex20a7a31ad04

2244023004420 has 144 divisors (see below), whose sum is σ = 6890023969920. Its totient is φ = 591098277888.

The previous prime is 2244023004389. The next prime is 2244023004481. The reversal of 2244023004420 is 244003204422.

2244023004420 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 0 + 230 + 0 + 4 + 420 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152037001 + ... + 152051759.

It is an arithmetic number, because the mean of its divisors is an integer number (47847388680).

Almost surely, 22244023004420 is an apocalyptic number.

2244023004420 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 2244023004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445011984960).

2244023004420 is an abundant number, since it is smaller than the sum of its proper divisors (4646000965500).

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

2244023004420 is a wasteful number, since it uses less digits than its factorization.

2244023004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25034 (or 25029 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2244023004420 its reverse (244003204422), we get a palindrome (2488026208842).

The spelling of 2244023004420 in words is "two trillion, two hundred forty-four billion, twenty-three million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 10177 14759 14940 20354 29518 30531 40708 44277 50885 59036 61062 73795 88554 91593 101770 122124 132831 147590 152655 177108 183186 203540 221385 265662 295180 305310 366372 442770 457965 531324 610620 664155 844691 885540 915930 1224997 1328310 1689382 1831860 2449994 2534073 2656620 3378764 3674991 4223455 4899988 5068146 6124985 7349982 7602219 8446910 10136292 11024973 12249970 12670365 14699964 15204438 16893820 18374955 22049946 24499940 25340730 30408876 36749910 38011095 44099892 50681460 55124865 73499820 76022190 110249730 150202343 152044380 220499460 300404686 450607029 600809372 751011715 901214058 1351821087 1502023430 1802428116 2253035145 2703642174 3004046860 4506070290 5407284348 6759105435 9012140580 12466794469 13518210870 24933588938 27036421740 37400383407 49867177876 62333972345 74800766814 112201150221 124667944690 149601533628 187001917035 224402300442 249335889380 374003834070 448804600884 561005751105 748007668140 1122011502210 2244023004420