Search a number
-
+
22051325403200 = 26522313921120431
BaseRepresentation
bin1010000001110001110010…
…11010101110000001000000
32220002002022210002222122002
411000320321122232001000
510342242103300400300
6114522123344403132
74434104254164662
oct500707132560100
986062283088562
1022051325403200
117031a07349a15
1225818403164a8
13c3c57b078672
1456340b492532
15283913c655d5
hex140e396ae040

22051325403200 has 336 divisors, whose sum is σ = 57299579258880. Its totient is φ = 8336224512000.

The previous prime is 22051325403199. The next prime is 22051325403203. The reversal of 22051325403200 is 230452315022.

It is not an unprimeable number, because it can be changed into a prime (22051325403203) 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 47 ways as a sum of consecutive naturals, for example, 1079296985 + ... + 1079317415.

It is an arithmetic number, because the mean of its divisors is an integer number (170534462080).

Almost surely, 222051325403200 is an apocalyptic number.

22051325403200 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 22051325403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28649789629440).

22051325403200 is an abundant number, since it is smaller than the sum of its proper divisors (35248253855680).

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

22051325403200 is a wasteful number, since it uses less digits than its factorization.

22051325403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20826 (or 20811 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 22051325403200 its reverse (230452315022), we get a palindrome (22281777718222).

The spelling of 22051325403200 in words is "twenty-two trillion, fifty-one billion, three hundred twenty-five million, four hundred three thousand, two hundred".