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2281140420 = 22351313721347
BaseRepresentation
bin1000011111110111…
…0111000011000100
312212222100221101020
42013331313003010
514132432443140
61014204431140
7110346242106
oct20775670304
95788327336
102281140420
11a7070a619
12537b484b0
132a47a0b40
14178d5d576
15d53e86d0
hex87f770c4

2281140420 has 96 divisors (see below), whose sum is σ = 6929048448. Its totient is φ = 557386752.

The previous prime is 2281140419. The next prime is 2281140439. The reversal of 2281140420 is 240411822.

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, 96187 + ... + 117533.

It is an arithmetic number, because the mean of its divisors is an integer number (72177588).

Almost surely, 22281140420 is an apocalyptic number.

2281140420 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 2281140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464524224).

2281140420 is an abundant number, since it is smaller than the sum of its proper divisors (4647908028).

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

2281140420 is a wasteful number, since it uses less digits than its factorization.

2281140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21509 (or 21507 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2281140420 is about 47761.2857867122. The cubic root of 2281140420 is about 1316.3882787675.

The spelling of 2281140420 in words is "two billion, two hundred eighty-one million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 137 156 195 260 274 390 411 548 685 780 822 1370 1644 1781 2055 2740 3562 4110 5343 7124 8220 8905 10686 17810 21347 21372 26715 35620 42694 53430 64041 85388 106735 106860 128082 213470 256164 277511 320205 426940 555022 640410 832533 1110044 1280820 1387555 1665066 2775110 2924539 3330132 4162665 5550220 5849078 8325330 8773617 11698156 14622695 16650660 17547234 29245390 35094468 38019007 43868085 58490780 76038014 87736170 114057021 152076028 175472340 190095035 228114042 380190070 456228084 570285105 760380140 1140570210 2281140420