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2280010471240 = 235613121299401
BaseRepresentation
bin100001001011011011001…
…101101101011101001000
322001222002211221121022011
4201023123031231131020
5244323430140034430
64503231121105304
7323503533145045
oct41133315553510
98058084847264
102280010471240
117a9a46520287
12309a6aa88234
13137008c13548
147c4d2c741cc
153e4957dd22a
hex212db36d748

2280010471240 has 64 divisors (see below), whose sum is σ = 5215810385520. Its totient is φ = 896762880000.

The previous prime is 2280010471181. The next prime is 2280010471241. The reversal of 2280010471240 is 421740100822.

2280010471240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 290975364 + 2279719495876 = 17058^2 + 1509874^2 .

It is not an unprimeable number, because it can be changed into a prime (2280010471241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7465540 + ... + 7764940.

Almost surely, 22280010471240 is an apocalyptic number.

2280010471240 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 2280010471240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607905192760).

2280010471240 is an abundant number, since it is smaller than the sum of its proper divisors (2935799914280).

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

2280010471240 is a wasteful number, since it uses less digits than its factorization.

2280010471240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302594 (or 302590 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The spelling of 2280010471240 in words is "two trillion, two hundred eighty billion, ten million, four hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 3121 6242 12484 15605 24968 31210 62420 124840 190381 299401 380762 598802 761524 951905 1197604 1497005 1523048 1903810 2395208 2994010 3807620 5988020 7615240 11976040 18263461 36526922 73053844 91317305 146107688 182634610 365269220 730538440 934430521 1868861042 3737722084 4672152605 7475444168 9344305210 18688610420 37377220840 57000261781 114000523562 228001047124 285001308905 456002094248 570002617810 1140005235620 2280010471240