Search a number
-
+
22354355345322 = 23731113253929917
BaseRepresentation
bin1010001010100110001110…
…11010001101011110101010
32221011001111110102000120210
411011103013122031132222
510412223204432022242
6115313241000001550
74465022523201000
oct505230732153652
987131443360523
1022354355345322
1171394798a7610
1226105104602b6
13c62011843320
14573d56b92a70
1528b74c42ed9c
hex1454c768d7aa

22354355345322 has 256 divisors, whose sum is σ = 61279723008000. Its totient is φ = 5357395572480.

The previous prime is 22354355345317. The next prime is 22354355345339.

22354355345322 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 747197508 + ... + 747227424.

It is an arithmetic number, because the mean of its divisors is an integer number (239373918000).

Almost surely, 222354355345322 is an apocalyptic number.

22354355345322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22354355345322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30639861504000).

22354355345322 is an abundant number, since it is smaller than the sum of its proper divisors (38925367662678).

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

22354355345322 is a wasteful number, since it uses less digits than its factorization.

22354355345322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32506 (or 32492 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 48.

The spelling of 22354355345322 in words is "twenty-two trillion, three hundred fifty-four billion, three hundred fifty-five million, three hundred forty-five thousand, three hundred twenty-two".