Search a number
-
+
244221120 = 263251113593
BaseRepresentation
bin11101000111010…
…00010011000000
3122000112201101200
432203220103000
51000010033440
640122301200
76023562633
oct1643502300
9560481350
10244221120
11115946a40
1269957800
133b79b250
1424613c1a
1516691c30
hexe8e84c0

244221120 has 336 divisors, whose sum is σ = 988539552. Its totient is φ = 54558720.

The previous prime is 244221113. The next prime is 244221139. The reversal of 244221120 is 21122442.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 244221093 and 244221102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411544 + ... + 412136.

It is an arithmetic number, because the mean of its divisors is an integer number (2942082).

Almost surely, 2244221120 is an apocalyptic number.

244221120 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 244221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494269776).

244221120 is an abundant number, since it is smaller than the sum of its proper divisors (744318432).

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

244221120 is a wasteful number, since it uses less digits than its factorization.

244221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 244221120 is about 15627.5756277165. The cubic root of 244221120 is about 625.0686815189.

Adding to 244221120 its reverse (21122442), we get a palindrome (265343562).

The spelling of 244221120 in words is "two hundred forty-four million, two hundred twenty-one thousand, one hundred twenty".