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244412000 = 2553722943
BaseRepresentation
bin11101001000101…
…10111001100000
3122000220102020022
432210112321200
51000032141000
640130333012
76025316300
oct1644267140
9560812208
10244412000
11115a67398
1269a2a168
133b8370b1
1424663600
15166cd585
hexe916e60

244412000 has 288 divisors, whose sum is σ = 739458720. Its totient is φ = 79027200.

The previous prime is 244411987. The next prime is 244412027. The reversal of 244412000 is 214442.

It is a self number, because there is not a number n which added to its sum of digits gives 244412000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5683979 + ... + 5684021.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2244412000 is an apocalyptic number.

244412000 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 244412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369729360).

244412000 is an abundant number, since it is smaller than the sum of its proper divisors (495046720).

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

244412000 is a wasteful number, since it uses less digits than its factorization.

244412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 244412000 is about 15633.6815881609. The cubic root of 244412000 is about 625.2314875843.

Adding to 244412000 its reverse (214442), we get a palindrome (244626442).

The spelling of 244412000 in words is "two hundred forty-four million, four hundred twelve thousand".