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2272673312 = 257213111493
BaseRepresentation
bin1000011101110110…
…0011111000100000
312212101102202200122
42013131203320200
514123301021222
61013303135412
7110214255500
oct20735437040
95771382618
102272673312
11a66957108
12535144568
132a2ac7c10
14177b97a00
15d47c4a42
hex87763e20

2272673312 has 72 divisors (see below), whose sum is σ = 5605249356. Its totient is φ = 899071488.

The previous prime is 2272673269. The next prime is 2272673329. The reversal of 2272673312 is 2133762722.

It can be written as a sum of positive squares in 2 ways, for example, as 1804210576 + 468462736 = 42476^2 + 21644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35363 + ... + 76130.

Almost surely, 22272673312 is an apocalyptic number.

It is an amenable number.

2272673312 is an abundant number, since it is smaller than the sum of its proper divisors (3332576044).

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

2272673312 is a wasteful number, since it uses less digits than its factorization.

2272673312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111530 (or 111515 counting only the distinct ones).

The product of its digits is 42336, while the sum is 35.

The square root of 2272673312 is about 47672.5635140381. The cubic root of 2272673312 is about 1314.7575416932.

The spelling of 2272673312 in words is "two billion, two hundred seventy-two million, six hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 20384 111493 222986 445972 780451 891944 1449409 1560902 1783888 2898818 3121804 3567776 5463157 5797636 6243608 10145863 10926314 11595272 12487216 20291726 21852628 23190544 24974432 40583452 43705256 46381088 71021041 81166904 87410512 142042082 162333808 174821024 284084164 324667616 568168328 1136336656 2272673312