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2822280240 = 243513904577
BaseRepresentation
bin1010100000111000…
…1001010000110000
321021200121200122210
42220032021100300
521240000431430
61144015132120
7126636662163
oct25016112060
97250550583
102822280240
111219115a0a
12669214040
1335c92b510
141cab83ada
15117b8b2b0
hexa8389430

2822280240 has 80 divisors (see below), whose sum is σ = 9422084448. Its totient is φ = 694714368.

The previous prime is 2822280239. The next prime is 2822280259. The reversal of 2822280240 is 420822282.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2822280198 and 2822280207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449169 + ... + 455408.

Almost surely, 22822280240 is an apocalyptic number.

2822280240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2822280240 is an abundant number, since it is smaller than the sum of its proper divisors (6599804208).

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

2822280240 is a wasteful number, since it uses less digits than its factorization.

2822280240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904606 (or 904600 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 2822280240 is about 53125.1375527631. The cubic root of 2822280240 is about 1413.1883385331.

The spelling of 2822280240 in words is "two billion, eight hundred twenty-two million, two hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 904577 1809154 2713731 3618308 4522885 5427462 7236616 9045770 10854924 11759501 13568655 14473232 18091540 21709848 23519002 27137310 35278503 36183080 43419696 47038004 54274620 58797505 70557006 72366160 94076008 108549240 117595010 141114012 176392515 188152016 217098480 235190020 282228024 352785030 470380040 564456048 705570060 940760080 1411140120 2822280240