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4223283840 = 27335244403
BaseRepresentation
bin1111101110111010…
…0011001010000000
3101220022212001022000
43323232203022000
532122130040330
61535023344000
7206441214606
oct37356431200
911808761260
104223283840
111877a2a726
1299a452000
13523c6ba29
142c0c77876
1519ab7d560
hexfbba3280

4223283840 has 128 divisors (see below), whose sum is σ = 14957524800. Its totient is φ = 1126204416.

The previous prime is 4223283811. The next prime is 4223283877. The reversal of 4223283840 is 483823224.

It is a happy number.

4223283840 is a `hidden beast` number, since 42 + 232 + 8 + 384 + 0 = 666.

4223283840 is digitally balanced in base 2, because in such base 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 (128).

It is a super-2 number, since 2×42232838402 = 35672252786410291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4223283795 and 4223283804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104922 + ... + 139481.

Almost surely, 24223283840 is an apocalyptic number.

4223283840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4223283840 is an abundant number, since it is smaller than the sum of its proper divisors (10734240960).

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

4223283840 is a wasteful number, since it uses less digits than its factorization.

4223283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244431 (or 244413 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4223283840 is about 64986.7974284008. The cubic root of 4223283840 is about 1616.4046465685.

The spelling of 4223283840 in words is "four billion, two hundred twenty-three million, two hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 244403 488806 733209 977612 1222015 1466418 1955224 2199627 2444030 2932836 3666045 3910448 4399254 4888060 5865672 6598881 7332090 7820896 8798508 9776120 10998135 11731344 13197762 14664180 15641792 17597016 19552240 21996270 23462688 26395524 29328360 31283584 32994405 35194032 39104480 43992540 46925376 52791048 58656720 65988810 70388064 78208960 87985080 93850752 105582096 117313440 131977620 140776128 156417920 175970160 211164192 234626880 263955240 281552256 351940320 422328384 469253760 527910480 703880640 844656768 1055820960 1407761280 2111641920 4223283840