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2022144313002 = 231183896076833
BaseRepresentation
bin11101011011010001001…
…100011000011010101010
321011022111201021111122220
4131123101030120122222
5231112322421004002
64144543230254510
7266044423026252
oct35332114303252
97138451244586
102022144313002
1170a64a824a10
12287aa4057436
131188c2273868
146dc2d878962
15379021157bc
hex1d6d13186aa

2022144313002 has 128 divisors (see below), whose sum is σ = 4523377582080. Its totient is φ = 597512509440.

The previous prime is 2022144312943. The next prime is 2022144313003. The reversal of 2022144313002 is 2003134412202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2022144313003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295934578 + ... + 295941410.

It is an arithmetic number, because the mean of its divisors is an integer number (35338887360).

Almost surely, 22022144313002 is an apocalyptic number.

2022144313002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022144313002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261688791040).

2022144313002 is an abundant number, since it is smaller than the sum of its proper divisors (2501233269078).

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

2022144313002 is a wasteful number, since it uses less digits than its factorization.

2022144313002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2022144313002 its reverse (2003134412202), we get a palindrome (4025278725204).

The spelling of 2022144313002 in words is "two trillion, twenty-two billion, one hundred forty-four million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 11 22 33 66 83 89 166 178 249 267 498 534 607 913 979 1214 1821 1826 1958 2739 2937 3642 5478 5874 6677 6833 7387 13354 13666 14774 20031 20499 22161 40062 40998 44322 50381 54023 75163 81257 100762 108046 150326 151143 162069 162514 225489 243771 302286 324138 450978 487542 554191 567139 594253 608137 1108382 1134278 1188506 1216274 1662573 1701417 1782759 1824411 3325146 3402834 3565518 3648822 4147631 4483909 6238529 6689507 8295262 8967818 12442893 12477058 13379014 13451727 18715587 20068521 24885786 26903454 37431174 40137042 45623941 49322999 50475371 91247882 98645998 100950742 136871823 147968997 151426113 273743646 295937994 302852226 344253373 369139159 555229081 688506746 738278318 1032760119 1107417477 1110458162 1665687243 2065520238 2214834954 3331374486 3786787103 4060530749 7573574206 8121061498 11360361309 12181592247 22720722618 24363184494 30638550197 61277100394 91915650591 183831301182 337024052167 674048104334 1011072156501 2022144313002