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2280451968 = 273624439
BaseRepresentation
bin1000011111101100…
…1110111110000000
312212221001222000000
42013323032332000
514132243430333
61014142000000
7110340344004
oct20773167600
95787058000
102280451968
11a7028a353
12537876000
132a45bc682
14178c20704
15d530e713
hex87ecef80

2280451968 has 112 divisors (see below), whose sum is σ = 6811794600. Its totient is φ = 760119552.

The previous prime is 2280451937. The next prime is 2280451993. The reversal of 2280451968 is 8691540822.

It is a super-2 number, since 2×22804519682 = 10400922356710146048, which contains 22 as substring.

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 81093 + ... + 105531.

Almost surely, 22280451968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405897300).

2280451968 is an abundant number, since it is smaller than the sum of its proper divisors (4531342632).

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

2280451968 is an frugal number, since it uses more digits than its factorization.

2280451968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24471 (or 24444 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2280451968 is about 47754.0780248138. The cubic root of 2280451968 is about 1316.2558360469.

The spelling of 2280451968 in words is "two billion, two hundred eighty million, four hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 24439 31104 46656 48878 73317 93312 97756 146634 195512 219951 293268 391024 439902 586536 659853 782048 879804 1173072 1319706 1564096 1759608 1979559 2346144 2639412 3128192 3519216 3959118 4692288 5278824 5938677 7038432 7918236 9384576 10557648 11877354 14076864 15836472 17816031 21115296 23754708 28153728 31672944 35632062 42230592 47509416 63345888 71264124 84461184 95018832 126691776 142528248 190037664 253383552 285056496 380075328 570112992 760150656 1140225984 2280451968