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2282804316 = 2233137322273
BaseRepresentation
bin1000100000010000…
…1101010001011100
312220002111110211000
42020010031101130
514133344214231
61014304230300
7110366342112
oct21004152134
95802443730
102282804316
11a71646741
1253860b390
132a4c342b0
14179273ab2
15d56266e6
hex8810d45c

2282804316 has 96 divisors (see below), whose sum is σ = 6461241920. Its totient is φ = 692748288.

The previous prime is 2282804269. The next prime is 2282804327. The reversal of 2282804316 is 6134082822.

It is a super-2 number, since 2×22828043162 = 10422391090296455712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 91356 + ... + 113628.

Almost surely, 22282804316 is an apocalyptic number.

2282804316 is a gapful number since it is divisible by the number (26) 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 2282804316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230620960).

2282804316 is an abundant number, since it is smaller than the sum of its proper divisors (4178437604).

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

2282804316 is a wasteful number, since it uses less digits than its factorization.

2282804316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22372 (or 22364 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2282804316 is about 47778.7014892619. The cubic root of 2282804316 is about 1316.7082650391.

The spelling of 2282804316 in words is "two billion, two hundred eighty-two million, eight hundred four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 73 78 108 117 146 156 219 234 292 351 438 468 657 702 876 949 1314 1404 1898 1971 2628 2847 3796 3942 5694 7884 8541 11388 17082 22273 25623 34164 44546 51246 66819 89092 102492 133638 200457 267276 289549 400914 579098 601371 801828 868647 1158196 1202742 1625929 1737294 2405484 2605941 3251858 3474588 4877787 5211882 6503716 7817823 9755574 10423764 14633361 15635646 19511148 21137077 29266722 31271292 42274154 43900083 58533444 63411231 84548308 87800166 126822462 175600332 190233693 253644924 380467386 570701079 760934772 1141402158 2282804316