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244300020 = 223523211839
BaseRepresentation
bin11101000111110…
…11100011110100
3122000200201121220
432203323203310
51000020100040
640124110340
76024341646
oct1643734364
9560621556
10244300020
111159a0248
12699953b0
133b7c8133
1424634896
15166aa2d0
hexe8fb8f4

244300020 has 96 divisors (see below), whose sum is σ = 718018560. Its totient is φ = 61944960.

The previous prime is 244300019. The next prime is 244300051. The reversal of 244300020 is 20003442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 290761 + ... + 291599.

It is an arithmetic number, because the mean of its divisors is an integer number (7479360).

Almost surely, 2244300020 is an apocalyptic number.

244300020 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 244300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359009280).

244300020 is an abundant number, since it is smaller than the sum of its proper divisors (473718540).

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

244300020 is a wasteful number, since it uses less digits than its factorization.

244300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 244300020 is about 15630.0998077428. The cubic root of 244300020 is about 625.1359874764.

Adding to 244300020 its reverse (20003442), we get a palindrome (264303462).

The spelling of 244300020 in words is "two hundred forty-four million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 211 230 276 345 422 460 633 690 839 844 1055 1266 1380 1678 2110 2517 2532 3165 3356 4195 4220 4853 5034 6330 8390 9706 10068 12585 12660 14559 16780 19297 19412 24265 25170 29118 38594 48530 50340 57891 58236 72795 77188 96485 97060 115782 145590 177029 192970 231564 289455 291180 354058 385940 531087 578910 708116 885145 1062174 1157820 1770290 2124348 2655435 3540580 4071667 5310870 8143334 10621740 12215001 16286668 20358335 24430002 40716670 48860004 61075005 81433340 122150010 244300020