Search a number
-
+
22202444431000 = 23531743191315877
BaseRepresentation
bin1010000110001011010001…
…10100000011111010011000
32220121112101112020000001201
411003011220310003322120
510402231101233243000
6115115355005523544
74451034161551651
oct503055064037230
986545345200051
1022202444431000
117090005079229
1225a6b958735b4
13c508b240b542
1456a8656d6528
1528780abd896a
hex143168d03e98

22202444431000 has 256 divisors, whose sum is σ = 56322091013760. Its totient is φ = 8159400345600.

The previous prime is 22202444430961. The next prime is 22202444431003. The reversal of 22202444431000 is 13444420222.

It is a super-2 number, since 2×222024444310002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22202444431000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202444431003) by changing a digit.

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, 1398395062 + ... + 1398410938.

Almost surely, 222202444431000 is an apocalyptic number.

22202444431000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202444431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28161045506880).

22202444431000 is an abundant number, since it is smaller than the sum of its proper divisors (34119646582760).

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

22202444431000 is a wasteful number, since it uses less digits than its factorization.

22202444431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17871 (or 17857 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22202444431000 its reverse (13444420222), we get a palindrome (22215888851222).

The spelling of 22202444431000 in words is "twenty-two trillion, two hundred two billion, four hundred forty-four million, four hundred thirty-one thousand".