Search a number
-
+
22231452340032 = 26313314719793089
BaseRepresentation
bin1010000111000001010011…
…10100011100111101000000
32220201022021010201110110220
411003200221310130331000
510403220003244340112
6115140553242023040
74453112053660215
oct503405164347500
986638233643426
1022231452340032
1170a1340300671
1225b07304a7a80
13c535560a5360
1456c018091b0c
1528845769498c
hex143829d1cf40

22231452340032 has 448 divisors, whose sum is σ = 66835412582400. Its totient is φ = 6473570549760.

The previous prime is 22231452339997. The next prime is 22231452340057. The reversal of 22231452340032 is 23004325413222.

It is a super-2 number, since 2×222314523400322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22231452339975 and 22231452340002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7196972344 + ... + 7196975432.

It is an arithmetic number, because the mean of its divisors is an integer number (149186188800).

Almost surely, 222231452340032 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 22231452340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33417706291200).

22231452340032 is an abundant number, since it is smaller than the sum of its proper divisors (44603960242368).

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

22231452340032 is a wasteful number, since it uses less digits than its factorization.

22231452340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 22231452340032 its reverse (23004325413222), we get a palindrome (45235777753254).

The spelling of 22231452340032 in words is "twenty-two trillion, two hundred thirty-one billion, four hundred fifty-two million, three hundred forty thousand, thirty-two".