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22201041231424 = 2611471106960617
BaseRepresentation
bin1010000110001000101010…
…01011010001111001000000
32220121101202201212002010001
411003010111023101321000
510402220213023401144
6115115003442245344
74450654332552046
oct503042513217100
986541681762101
1022201041231424
11708a454aa4660
1225a6863956854
13c5071a7ac633
1456a7711d0396
15287777910bd4
hex1431152d1e40

22201041231424 has 112 divisors (see below), whose sum is σ = 49088010251520. Its totient is φ = 9875616911360.

The previous prime is 22201041231407. The next prime is 22201041231463. The reversal of 22201041231424 is 42413214010222.

It is a junction number, because it is equal to n+sod(n) for n = 22201041231392 and 22201041231401.

It is an unprimeable number.

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, 366220764 + ... + 366281380.

Almost surely, 222201041231424 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 22201041231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24544005125760).

22201041231424 is an abundant number, since it is smaller than the sum of its proper divisors (26886969020096).

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

22201041231424 is a wasteful number, since it uses less digits than its factorization.

22201041231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71756 (or 71746 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 22201041231424 its reverse (42413214010222), we get a palindrome (64614255241646).

The spelling of 22201041231424 in words is "twenty-two trillion, two hundred one billion, forty-one million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 517 704 752 1034 1504 2068 3008 4136 8272 11069 16544 22138 33088 44276 60617 88552 121234 121759 177104 242468 243518 354208 484936 487036 520243 666787 708416 969872 974072 1040486 1333574 1939744 1948144 2080972 2667148 2848999 3879488 3896288 4161944 5334296 5697998 5722673 7792576 8323888 10668592 11395996 11445346 16647776 21337184 22791992 22890692 31338989 33295552 42674368 45583984 45781384 62677978 91167968 91562768 125355956 182335936 183125536 250711912 366251072 501423824 670969573 1002847648 1341939146 2005695296 2683878292 5367756584 7380665303 10735513168 14761330606 21471026336 29522661212 31535569931 42942052672 59045322424 63071139862 118090644848 126142279724 236181289696 252284559448 346891269241 472362579392 504569118896 693782538482 1009138237792 1387565076964 2018276475584 2775130153928 5550260307856 11100520615712 22201041231424