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2281451820 = 2235313733151
BaseRepresentation
bin1000011111111100…
…0011000100101100
312212222221202112120
42013333003010230
514133022424240
61014215232540
7110352010014
oct20777030454
95788852476
102281451820
11a7090257a
12538078750
132a487c7bb
14179000c44
15d545aad0
hex87fc312c

2281451820 has 96 divisors (see below), whose sum is σ = 6772555776. Its totient is φ = 572832000.

The previous prime is 2281451819. The next prime is 2281451849. The reversal of 2281451820 is 281541822.

2281451820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52245 + ... + 85395.

It is an arithmetic number, because the mean of its divisors is an integer number (70547456).

Almost surely, 22281451820 is an apocalyptic number.

2281451820 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 2281451820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386277888).

2281451820 is an abundant number, since it is smaller than the sum of its proper divisors (4491103956).

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

2281451820 is a wasteful number, since it uses less digits than its factorization.

2281451820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33231 (or 33229 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 2281451820 is about 47764.5456379520. The cubic root of 2281451820 is about 1316.4481763893.

The spelling of 2281451820 in words is "two billion, two hundred eighty-one million, four hundred fifty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 222 310 370 372 444 465 555 620 740 930 1110 1147 1860 2220 2294 3441 4588 5735 6882 11470 13764 17205 22940 33151 34410 66302 68820 99453 132604 165755 198906 331510 397812 497265 663020 994530 1027681 1226587 1989060 2055362 2453174 3083043 3679761 4110724 4906348 5138405 6132935 6166086 7359522 10276810 12265870 12332172 14719044 15415215 18398805 20553620 24531740 30830430 36797610 38024197 61660860 73595220 76048394 114072591 152096788 190120985 228145182 380241970 456290364 570362955 760483940 1140725910 2281451820