Search a number
-
+
22324140020442 = 23131974573201997
BaseRepresentation
bin1010001001101101111100…
…11011111001001011011010
32221001011111200221111000010
411010312332123321023122
510411224314321123232
6115251322432422350
74462603000156551
oct504667633711332
987034450844003
1022324140020442
117127684063837
1226066993a79b6
13c5c207989770
145726cbcd6d98
1528aa7e9710cc
hex144dbe6f92da

22324140020442 has 64 divisors (see below), whose sum is σ = 50614364142720. Its totient is φ = 6507322147584.

The previous prime is 22324140020417. The next prime is 22324140020449. The reversal of 22324140020442 is 24402004142322.

It is a happy number.

It is a super-3 number, since 3×223241400204423 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22324140020449) 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, 110416188 + ... + 110618184.

It is an arithmetic number, because the mean of its divisors is an integer number (790849439730).

Almost surely, 222324140020442 is an apocalyptic number.

22324140020442 is an abundant number, since it is smaller than the sum of its proper divisors (28290224122278).

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

22324140020442 is a wasteful number, since it uses less digits than its factorization.

22324140020442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276607.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 22324140020442 its reverse (24402004142322), we get a palindrome (46726144162764).

The spelling of 22324140020442 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred forty million, twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 74573 149146 201997 223719 403994 447438 605991 969449 1211982 1416887 1938898 2625961 2833774 2908347 3837943 4250661 5251922 5816694 7675886 7877883 8501322 11513829 15755766 18419531 23027658 36839062 49893259 55258593 99786518 110517186 149679777 299359554 15063522281 30127044562 45190566843 90381133686 195825789653 286206923339 391651579306 572413846678 587477368959 858620770017 1174954737918 1717241540034 3720690003407 7441380006814 11162070010221 22324140020442