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2022242243040 = 253255932368187
BaseRepresentation
bin11101011011010111000…
…001111101000111100000
321011022202112112212102100
4131123113001331013200
5231113023003234130
64145001045250400
7266050022310465
oct35332701750740
97138675485370
102022242243040
1170a6a0032228
12287b10a03a00
13118909641126
146dc3c88b66c
153790aa0bc60
hex1d6d707d1e0

2022242243040 has 144 divisors (see below), whose sum is σ = 6912541844208. Its totient is φ = 538354987008.

The previous prime is 2022242243011. The next prime is 2022242243051. The reversal of 2022242243040 is 403422422202.

2022242243040 is a `hidden beast` number, since 2 + 0 + 2 + 224 + 2 + 2 + 430 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2022242242995 and 2022242243013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330174 + ... + 2038013.

It is an arithmetic number, because the mean of its divisors is an integer number (48003762807).

Almost surely, 22022242243040 is an apocalyptic number.

2022242243040 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 2022242243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456270922104).

2022242243040 is an abundant number, since it is smaller than the sum of its proper divisors (4890299601168).

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

2022242243040 is a wasteful number, since it uses less digits than its factorization.

2022242243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368801 (or 2368790 counting only the distinct ones).

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

Adding to 2022242243040 its reverse (403422422202), we get a palindrome (2425664665242).

The spelling of 2022242243040 in words is "two trillion, twenty-two billion, two hundred forty-two million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 593 720 1186 1440 1779 2372 2965 3558 4744 5337 5930 7116 8895 9488 10674 11860 14232 17790 18976 21348 23720 26685 28464 35580 42696 47440 53370 56928 71160 85392 94880 106740 142320 170784 213480 284640 426960 853920 2368187 4736374 7104561 9472748 11840935 14209122 18945496 21313683 23681870 28418244 35522805 37890992 42627366 47363740 56836488 71045610 75781984 85254732 94727480 106568415 113672976 142091220 170509464 189454960 213136830 227345952 284182440 341018928 378909920 426273660 568364880 682037856 852547320 1136729760 1404334891 1705094640 2808669782 3410189280 4213004673 5617339564 7021674455 8426009346 11234679128 12639014019 14043348910 16852018692 21065023365 22469358256 25278028038 28086697820 33704037384 42130046730 44938716512 50556056076 56173395640 63195070095 67408074768 84260093460 101112112152 112346791280 126390140190 134816149536 168520186920 202224224304 224693582560 252780280380 337040373840 404448448608 505560560760 674080747680 1011121121520 2022242243040