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2224020142410 = 2351110167399149
BaseRepresentation
bin100000010111010001111…
…011100011100101001010
321212121120210021012100120
4200113101323203211022
5242414243124024120
64421411210044110
7316452202203543
oct40272173434512
97777523235316
102224020142410
11788224432550
122bb043a19636
131319550b2a61
1479900b314ca
153ccba0c1140
hex205d1ee394a

2224020142410 has 128 divisors (see below), whose sum is σ = 5889338668800. Its totient is φ = 533019648000.

The previous prime is 2224020142363. The next prime is 2224020142427. The reversal of 2224020142410 is 142410204222.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22381516 + ... + 22480664.

It is an arithmetic number, because the mean of its divisors is an integer number (46010458350).

Almost surely, 22224020142410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224020142410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944669334400).

2224020142410 is an abundant number, since it is smaller than the sum of its proper divisors (3665318526390).

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

2224020142410 is a wasteful number, since it uses less digits than its factorization.

2224020142410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99944.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2224020142410 its reverse (142410204222), we get a palindrome (2366430346632).

The spelling of 2224020142410 in words is "two trillion, two hundred twenty-four billion, twenty million, one hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 673 1010 1111 1346 1515 2019 2222 3030 3333 3365 4038 5555 6666 6730 7403 10095 11110 14806 16665 20190 22209 33330 37015 44418 67973 74030 99149 111045 135946 198298 203919 222090 297447 339865 407838 495745 594894 679730 747703 991490 1019595 1090639 1487235 1495406 2039190 2181278 2243109 2974470 3271917 3738515 4486218 5453195 6543834 7477030 10014049 10906390 11215545 16359585 20028098 22431090 30042147 32719170 50070245 60084294 66727277 100140490 110154539 133454554 150210735 200181831 220309078 300421470 330463617 333636385 400363662 550772695 660927234 667272770 734000047 1000909155 1101545390 1468000094 1652318085 2001818310 2202000141 3304636170 3670000235 4404000282 6739454977 7340000470 11010000705 13478909954 20218364931 22020001410 33697274885 40436729862 67394549770 74134004747 101091824655 148268009494 202183649310 222402014241 370670023735 444804028482 741340047470 1112010071205 2224020142410