Search a number
-
+
22024400602432 = 263715196763697
BaseRepresentation
bin1010000000111111101001…
…00100110000010101000000
32212222111211100100101112211
411000133310210300111000
510341321433023234212
6114501511524431504
74432132115151364
oct500376444602500
985874740311484
1022024400602432
11702154aa68658
122578587248594
13c39b79b36ca7
14561db56272a4
15282d8a0d69a7
hex1407f4930540

22024400602432 has 112 divisors (see below), whose sum is σ = 45230569846528. Its totient is φ = 10632442060800.

The previous prime is 22024400602411. The next prime is 22024400602433. The reversal of 22024400602432 is 23420600442022.

It is a junction number, because it is equal to n+sod(n) for n = 22024400602394 and 22024400602403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22024400602433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345736408 + ... + 345800104.

Almost surely, 222024400602432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22024400602432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22615284923264).

22024400602432 is an abundant number, since it is smaller than the sum of its proper divisors (23206169244096).

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

22024400602432 is a wasteful number, since it uses less digits than its factorization.

22024400602432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64864 (or 64854 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

The spelling of 22024400602432 in words is "twenty-two trillion, twenty-four billion, four hundred million, six hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 151 296 302 592 604 967 1184 1208 1934 2368 2416 3868 4832 5587 7736 9664 11174 15472 22348 30944 35779 44696 61888 63697 71558 89392 127394 143116 146017 178784 254788 286232 292034 357568 509576 572464 584068 1019152 1144928 1168136 2038304 2289856 2336272 2356789 4076608 4672544 4713578 5402629 9345088 9427156 9618247 10805258 18854312 19236494 21610516 37708624 38472988 43221032 61594999 75417248 76945976 86442064 123189998 150834496 153891952 172884128 246379996 307783904 345768256 355875139 492759992 615567808 711750278 985519984 1423500556 1971039968 2279014963 2847001112 3942079936 4558029926 5694002224 9116059852 9300844849 11388004448 18232119704 18601689698 22776008896 36464239408 37203379396 72928478816 74406758792 145856957632 148813517584 297627035168 344131259413 595254070336 688262518826 1376525037652 2753050075304 5506100150608 11012200301216 22024400602432