Search a number
-
+
22021242340432 = 2417139582449279
BaseRepresentation
bin1010000000111001110000…
…10100111100010001010000
32212222012200020112001120011
411000130320110330101100
510341244001014343212
6114500230304124304
74431660625315426
oct500347024742120
985865606461504
1022021242340432
11702017a232675
122577a45606694
13c397957200ca
14561b95dc5116
15282c52bd04a7
hex14073853c450

22021242340432 has 40 divisors (see below), whose sum is σ = 45500937753600. Its totient is φ = 10288384046592.

The previous prime is 22021242340393. The next prime is 22021242340439. The reversal of 22021242340432 is 23404324212022.

It is a happy number.

It is a super-2 number, since 2×220212423404322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22021242340394 and 22021242340403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22021242340439) 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 7 ways as a sum of consecutive naturals, for example, 291186832 + ... + 291262447.

It is an arithmetic number, because the mean of its divisors is an integer number (1137523443840).

Almost surely, 222021242340432 is an apocalyptic number.

It is an amenable number.

22021242340432 is an abundant number, since it is smaller than the sum of its proper divisors (23479695413168).

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

22021242340432 is a wasteful number, since it uses less digits than its factorization.

22021242340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582449443 (or 582449437 counting only the distinct ones).

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

Adding to 22021242340432 its reverse (23404324212022), we get a palindrome (45425566552454).

The spelling of 22021242340432 in words is "twenty-two trillion, twenty-one billion, two hundred forty-two million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 139 272 278 556 1112 2224 2363 4726 9452 18904 37808 582449279 1164898558 2329797116 4659594232 9319188464 9901637743 19803275486 39606550972 79213101944 80960449781 158426203888 161920899562 323841799124 647683598248 1295367196496 1376327646277 2752655292554 5505310585108 11010621170216 22021242340432