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244000220240 = 24571992189521
BaseRepresentation
bin1110001100111110001…
…0111110010001010000
3212022210210110110120002
43203033202332101100
512444203024021430
6304031523305132
723425360436330
oct3431742762120
9768723413502
10244000220240
1194530843987
123b35721b1a8
131a01706c45a
14bb49a5d0c0
156531226845
hex38cf8be450

244000220240 has 80 divisors (see below), whose sum is σ = 651601747200. Its totient is φ = 83236792320.

The previous prime is 244000220201. The next prime is 244000220249. The reversal of 244000220240 is 42022000442.

244000220240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2440002202402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244000220249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983321 + ... + 1206200.

It is an arithmetic number, because the mean of its divisors is an integer number (8145021840).

Almost surely, 2244000220240 is an apocalyptic number.

244000220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244000220240 is an abundant number, since it is smaller than the sum of its proper divisors (407601526960).

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

244000220240 is a wasteful number, since it uses less digits than its factorization.

244000220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189740 (or 2189734 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 244000220240 its reverse (42022000442), we get a palindrome (286022220682).

The spelling of 244000220240 in words is "two hundred forty-four billion, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 199 280 398 560 796 995 1393 1592 1990 2786 3184 3980 5572 6965 7960 11144 13930 15920 22288 27860 55720 111440 2189521 4379042 8758084 10947605 15326647 17516168 21895210 30653294 35032336 43790420 61306588 76633235 87580840 122613176 153266470 175161680 245226352 306532940 435714679 613065880 871429358 1226131760 1742858716 2178573395 3050002753 3485717432 4357146790 6100005506 6971434864 8714293580 12200011012 15250013765 17428587160 24400022024 30500027530 34857174320 48800044048 61000055060 122000110120 244000220240