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221242323223422 = 234113131316729131
BaseRepresentation
bin110010010011011111111110…
…000101011100001101111110
31002000100120002220102012010000
4302103133332011130031332
5212444313234221122142
62102313153053455130
764413142005450414
oct6223377605341576
91060316086365100
10221242323223422
1164549384758676
12209922b24a14a6
13965b0a5326687
143c8c28532d2b4
151a8a04955514c
hexc937fe15c37e

221242323223422 has 160 divisors (see below), whose sum is σ = 504128072346624. Its totient is φ = 72511440019200.

The previous prime is 221242323223421. The next prime is 221242323223447. The reversal of 221242323223422 is 224322323242122.

221242323223422 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 4 + 2 + 3 + 2 + 3 + 223 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221242323223421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7594723797 + ... + 7594752927.

Almost surely, 2221242323223422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221242323223422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252064036173312).

221242323223422 is an abundant number, since it is smaller than the sum of its proper divisors (282885749123202).

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

221242323223422 is a wasteful number, since it uses less digits than its factorization.

221242323223422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32556 (or 32547 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 221242323223422 its reverse (224322323242122), we get a palindrome (445564646465544).

The spelling of 221242323223422 in words is "two hundred twenty-one trillion, two hundred forty-two billion, three hundred twenty-three million, two hundred twenty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 131 162 226 262 339 393 678 786 1017 1179 2034 2358 3051 3167 3537 6102 6334 7074 9153 9501 10611 14803 18306 19002 21222 28503 29131 29606 44409 57006 58262 85509 87393 88818 133227 171018 174786 256527 262179 266454 357871 399681 414877 513054 524358 715742 786537 799362 829754 1073613 1199043 1244631 1573074 2147226 2359611 2398086 2489262 3220839 3291803 3733893 3816161 4719222 6441678 6583606 7467786 7632322 9662517 9875409 11201679 11448483 19325034 19750818 22403358 22896966 28987551 29626227 33605037 34345449 46881101 57975102 59252454 67210074 68690898 88878681 92257877 93762202 103036347 140643303 177757362 184515754 206072694 266636043 276773631 281286606 309109041 421929909 431226193 533272086 553547262 618218082 830320893 843859818 862452386 1265789727 1293678579 1660641786 2490962679 2531579454 2587357158 3797369181 3881035737 4981925358 7472888037 7594738362 7762071474 10425140101 11643107211 12085781887 14945776074 20850280202 23286214422 24171563774 31275420303 34929321633 36257345661 62550840606 69858643266 72514691322 93826260909 108772036983 187652521818 217544073966 281478782727 326316110949 562957565454 652632221898 844436348181 978948332847 1365693353231 1688872696362 1957896665694 2731386706462 4097080059693 8194160119386 12291240179079 24582480358158 36873720537237 73747441074474 110621161611711 221242323223422