Search a number
-
+
22333423231000 = 2353710667299099
BaseRepresentation
bin1010001001111111001111…
…10000100010000000011000
32221002001110122221102212101
411010333213300202000120
510411402322321343000
6115255455532053144
74463352022152430
oct504774760420030
987061418842771
1022333423231000
117130608201282
12260844a3041b4
13c6005700986b
14572d2cb912c0
1528ae24941e6a
hex144fe7c22018

22333423231000 has 128 divisors (see below), whose sum is σ = 59731753536000. Its totient is φ = 7656430243200.

The previous prime is 22333423230997. The next prime is 22333423231013. The reversal of 22333423231000 is 13232433322.

It is a super-2 number, since 2×223334232310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 22333423231000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74519451 + ... + 74818549.

It is an arithmetic number, because the mean of its divisors is an integer number (466654324500).

Almost surely, 222333423231000 is an apocalyptic number.

22333423231000 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 22333423231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29865876768000).

22333423231000 is an abundant number, since it is smaller than the sum of its proper divisors (37398330305000).

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

22333423231000 is a wasteful number, since it uses less digits than its factorization.

22333423231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309794 (or 309780 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 22333423231000 its reverse (13232433322), we get a palindrome (22346655664322).

The spelling of 22333423231000 in words is "twenty-two trillion, three hundred thirty-three billion, four hundred twenty-three million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 10667 21334 42668 53335 74669 85336 106670 149338 213340 266675 298676 299099 373345 426680 533350 597352 598198 746690 1066700 1196396 1333375 1493380 1495495 1866725 2093693 2133400 2392792 2666750 2986760 2990990 3733450 4187386 5333500 5981980 7466900 7477475 8374772 9333625 10468465 10667000 11963960 14933800 14954950 16749544 18667250 20936930 29909900 37334500 37387375 41873860 52342325 59819800 74669000 74774750 83747720 104684650 149549500 209369300 261711625 299099000 418738600 523423250 1046846500 2093693000 3190489033 6380978066 12761956132 15952445165 22333423231 25523912264 31904890330 44666846462 63809780660 79762225825 89333692924 111667116155 127619561320 159524451650 178667385848 223334232310 319048903300 398811129125 446668464620 558335580775 638097806600 797622258250 893336929240 1116671161550 1595244516500 2233342323100 2791677903875 3190489033000 4466684646200 5583355807750 11166711615500 22333423231000