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4222444024420 = 2251741990130593
BaseRepresentation
bin111101011100011101010…
…001101011001001100100
3112221122212101100221220021
4331130131101223021210
51023140031132240140
612551433005244524
7614030046006466
oct75343521531144
915848771327807
104222444024420
111388801633586
12582407b63744
13248236c5371b
14108520146136
1574c7ea1ab4a
hex3d71d46b264

4222444024420 has 96 divisors (see below), whose sum is σ = 9619007652576. Its totient is φ = 1550647296000.

The previous prime is 4222444024363. The next prime is 4222444024451. The reversal of 4222444024420 is 244204442224.

It can be written as a sum of positive squares in 16 ways, for example, as 192371714404 + 4030072310016 = 438602^2 + 2007504^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138004644 + ... + 138035236.

It is an arithmetic number, because the mean of its divisors is an integer number (100197996381).

Almost surely, 24222444024420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222444024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809503826288).

4222444024420 is an abundant number, since it is smaller than the sum of its proper divisors (5396563628156).

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

4222444024420 is a wasteful number, since it uses less digits than its factorization.

4222444024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40561 (or 40559 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 4222444024420 its reverse (244204442224), we get a palindrome (4466648466644).

The spelling of 4222444024420 in words is "four trillion, two hundred twenty-two billion, four hundred forty-four million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 9901 13940 19802 30593 39604 49505 61186 99010 122372 152965 168317 198020 305930 336634 405941 520081 611860 673268 811882 841585 1040162 1254313 1623764 1683170 2029705 2080324 2508626 2600405 3366340 4059410 5017252 5200810 6271565 6900997 8118820 10401620 12543130 13801994 21323321 25086260 27603988 34504985 42646642 69009970 85293284 106616605 138019940 213233210 302901293 426466420 605802586 1211605172 1514506465 3029012930 5149321981 6058025860 10298643962 12418953013 20597287924 24837906026 25746609905 49675812052 51493219810 62094765065 102986439620 124189530130 211122201221 248379060260 422244402442 844488804884 1055611006105 2111222012210 4222444024420