Search a number
-
+
2022233406240 = 25354449194693
BaseRepresentation
bin11101011011010110100…
…000001111101100100000
321011022201220220220121110
4131123112200033230200
5231113013222444430
64145000132023320
7266046554224305
oct35332640175440
97138656826543
102022233406240
1170a696046a93
12287b09a61b40
13118907868b58
146dc3b62b0ac
1537909d637b0
hex1d6d680fb20

2022233406240 has 96 divisors (see below), whose sum is σ = 6370245677376. Its totient is φ = 539244426240.

The previous prime is 2022233406239. The next prime is 2022233406269. The reversal of 2022233406240 is 426043322202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×20222334062403 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2022233406198 and 2022233406207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21308334 + ... + 21403026.

It is an arithmetic number, because the mean of its divisors is an integer number (66356725806).

Almost surely, 22022233406240 is an apocalyptic number.

2022233406240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022233406240 is an abundant number, since it is smaller than the sum of its proper divisors (4348012271136).

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

2022233406240 is a wasteful number, since it uses less digits than its factorization.

2022233406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139202 (or 139194 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2022233406240 its reverse (426043322202), we get a palindrome (2448276728442).

The spelling of 2022233406240 in words is "two trillion, twenty-two billion, two hundred thirty-three million, four hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 44491 88982 94693 133473 177964 189386 222455 266946 284079 355928 378772 444910 473465 533892 568158 667365 711856 757544 889820 946930 1067784 1136316 1334730 1420395 1423712 1515088 1779640 1893860 2135568 2272632 2669460 2840790 3030176 3559280 3787720 4271136 4545264 5338920 5681580 7118560 7575440 9090528 10677840 11363160 15150880 21355680 22726320 45452640 4212986263 8425972526 12638958789 16851945052 21064931315 25277917578 33703890104 42129862630 50555835156 63194793945 67407780208 84259725260 101111670312 126389587890 134815560416 168519450520 202223340624 252779175780 337038901040 404446681248 505558351560 674077802080 1011116703120 2022233406240