Search a number
-
+
22303061424 = 2433714949499
BaseRepresentation
bin10100110001010111…
…011011010110110000
32010120100010220121000
4110301113123112300
5331134040431144
614125040002000
71416455615460
oct246127332660
963510126530
1022303061424
119505551176
1243a5300300
132145882387
14111810dba0
158a8044769
hex5315db5b0

22303061424 has 160 divisors (see below), whose sum is σ = 73656000000. Its totient is φ = 6329408256.

The previous prime is 22303061423. The next prime is 22303061437. The reversal of 22303061424 is 42416030322.

22303061424 is a `hidden beast` number, since 2 + 23 + 0 + 3 + 0 + 614 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22303061423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425827 + ... + 475325.

It is an arithmetic number, because the mean of its divisors is an integer number (460350000).

Almost surely, 222303061424 is an apocalyptic number.

22303061424 is a gapful number since it is divisible by the number (24) 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 22303061424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36828000000).

22303061424 is an abundant number, since it is smaller than the sum of its proper divisors (51352938576).

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

22303061424 is a wasteful number, since it uses less digits than its factorization.

22303061424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49672 (or 49660 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22303061424 its reverse (42416030322), we get a palindrome (64719091746).

The spelling of 22303061424 in words is "twenty-two billion, three hundred three million, sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 149 168 189 216 252 298 336 378 432 447 504 596 756 894 1008 1043 1192 1341 1512 1788 2086 2384 2682 3024 3129 3576 4023 4172 5364 6258 7152 8046 8344 9387 10728 12516 16092 16688 18774 21456 25032 28161 32184 37548 49499 50064 56322 64368 75096 98998 112644 148497 150192 197996 225288 296994 346493 395992 445491 450576 593988 692986 791984 890982 1039479 1187976 1336473 1385972 1781964 2078958 2375952 2672946 2771944 3118437 3563928 4157916 5345892 5543888 6236874 7127856 7375351 8315832 9355311 10691784 12473748 14750702 16631664 18710622 21383568 22126053 24947496 29501404 37421244 44252106 49894992 51627457 59002808 66378159 74842488 88504212 103254914 118005616 132756318 149684976 154882371 177008424 199134477 206509828 265512636 309764742 354016848 398268954 413019656 464647113 531025272 619529484 796537908 826039312 929294226 1062050544 1239058968 1393941339 1593075816 1858588452 2478117936 2787882678 3186151632 3717176904 5575765356 7434353808 11151530712 22303061424