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244236144 = 243172910321
BaseRepresentation
bin11101000111010…
…11111101110000
3122000120111000010
432203223331300
51000011024034
640122454520
76023654505
oct1643537560
9560514003
10244236144
11115957259
1269964440
133b7a5039
14246194ac
15166963e9
hexe8ebf70

244236144 has 80 divisors (see below), whose sum is σ = 691161120. Its totient is φ = 73973760.

The previous prime is 244236121. The next prime is 244236169. The reversal of 244236144 is 441632442.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18504 + ... + 28824.

It is an arithmetic number, because the mean of its divisors is an integer number (8639514).

Almost surely, 2244236144 is an apocalyptic number.

244236144 is a gapful number since it is divisible by the number (24) 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 244236144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345580560).

244236144 is an abundant number, since it is smaller than the sum of its proper divisors (446924976).

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

244236144 is a wasteful number, since it uses less digits than its factorization.

244236144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10378 (or 10372 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 244236144 is about 15628.0563090872. The cubic root of 244236144 is about 625.0814989189.

Adding to 244236144 its reverse (441632442), we get a palindrome (685868586).

The spelling of 244236144 in words is "two hundred forty-four million, two hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1972 2958 3944 5916 7888 10321 11832 20642 23664 30963 41284 61926 82568 123852 165136 175457 247704 299309 350914 495408 526371 598618 701828 897927 1052742 1197236 1403656 1795854 2105484 2394472 2807312 3591708 4210968 4788944 5088253 7183416 8421936 10176506 14366832 15264759 20353012 30529518 40706024 61059036 81412048 122118072 244236144