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2285381040 = 243563115091
BaseRepresentation
bin1000100000111000…
…0010010110110000
312220021100101102020
42020032002112300
514140024143130
61014435351440
7110430263325
oct21016022660
95807311366
102285381040
11a73046668
12539452580
132a5627097
14179744b4c
15d5984e10
hex883825b0

2285381040 has 80 divisors (see below), whose sum is σ = 7096379136. Its totient is φ = 608428800.

The previous prime is 2285381029. The next prime is 2285381051. The reversal of 2285381040 is 401835822.

It is an interprime number because it is at equal distance from previous prime (2285381029) and next prime (2285381051).

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

It is a junction number, because it is equal to n+sod(n) for n = 2285380992 and 2285381010.

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, 143895 + ... + 158985.

Almost surely, 22285381040 is an apocalyptic number.

2285381040 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 2285381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548189568).

2285381040 is an abundant number, since it is smaller than the sum of its proper divisors (4810998096).

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

2285381040 is a wasteful number, since it uses less digits than its factorization.

2285381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15738 (or 15732 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2285381040 is about 47805.6590792345. The cubic root of 2285381040 is about 1317.2034918997.

The spelling of 2285381040 in words is "two billion, two hundred eighty-five million, three hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631 1262 1893 2524 3155 3786 5048 6310 7572 9465 10096 12620 15091 15144 18930 25240 30182 30288 37860 45273 50480 60364 75455 75720 90546 120728 150910 151440 181092 226365 241456 301820 362184 452730 603640 724368 905460 1207280 1810920 3621840 9522421 19044842 28567263 38089684 47612105 57134526 76179368 95224210 114269052 142836315 152358736 190448420 228538104 285672630 380896840 457076208 571345260 761793680 1142690520 2285381040