Search a number
-
+
22241102453440 = 26513172937293099
BaseRepresentation
bin1010000111010011010010…
…00000101101101011000000
32220202020011200010000102121
411003221221000231223000
510403344234212002230
6115145231005254024
74453603152406513
oct503515100555300
986666150100377
1022241102453440
1170a5442568702
1225b2584264314
13c54433449130
1456c691976d7a
1528881e98c77a
hex143a6902dac0

22241102453440 has 448 divisors, whose sum is σ = 64161747216000. Its totient is φ = 7260801859584.

The previous prime is 22241102453429. The next prime is 22241102453519. The reversal of 22241102453440 is 4435420114222.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 22241102453396 and 22241102453405.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75736011 + ... + 76029109.

It is an arithmetic number, because the mean of its divisors is an integer number (143218185750).

Almost surely, 222241102453440 is an apocalyptic number.

22241102453440 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 22241102453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32080873608000).

22241102453440 is an abundant number, since it is smaller than the sum of its proper divisors (41920644762560).

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

22241102453440 is a wasteful number, since it uses less digits than its factorization.

22241102453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293212 (or 293202 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 22241102453440 its reverse (4435420114222), we get a palindrome (26676522567662).

The spelling of 22241102453440 in words is "twenty-two trillion, two hundred forty-one billion, one hundred two million, four hundred fifty-three thousand, four hundred forty".