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2284521240 = 2335191001983
BaseRepresentation
bin1000100000101011…
…0000011100011000
312220012201200222210
42020022300130120
514134314134430
61014405115120
7110420052531
oct21012603430
95805650883
102284521240
11a72609691
125390b8aa0
132a53b5921
1417959d688
15d58652b0
hex882b0718

2284521240 has 64 divisors (see below), whose sum is σ = 7214284800. Its totient is φ = 577141632.

The previous prime is 2284521227. The next prime is 2284521257. The reversal of 2284521240 is 421254822.

It is a super-3 number, since 3×22845212403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 2284521198 and 2284521207.

It is a congruent number.

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, 498712 + ... + 503271.

It is an arithmetic number, because the mean of its divisors is an integer number (112723200).

Almost surely, 22284521240 is an apocalyptic number.

2284521240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2284521240 is an abundant number, since it is smaller than the sum of its proper divisors (4929763560).

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

2284521240 is a wasteful number, since it uses less digits than its factorization.

2284521240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002016 (or 1002012 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 2284521240 is about 47796.6655740754. The cubic root of 2284521240 is about 1317.0382862442.

The spelling of 2284521240 in words is "two billion, two hundred eighty-four million, five hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 1001983 2003966 3005949 4007932 5009915 6011898 8015864 10019830 12023796 15029745 19037677 20039660 24047592 30059490 38075354 40079320 57113031 60118980 76150708 95188385 114226062 120237960 152301416 190376770 228452124 285565155 380753540 456904248 571130310 761507080 1142260620 2284521240