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2322071072 = 25172257977
BaseRepresentation
bin1000101001100111…
…1111111000100000
312222211101102200022
42022121333320200
514223422233242
61022230013012
7111354164336
oct21231777040
95884342608
102322071072
11a91826402
125497a7168
132b0102169
14180575b56
15d8cd10d2
hex8a67fe20

2322071072 has 72 divisors (see below), whose sum is σ = 4880198484. Its totient is φ = 1087373312.

The previous prime is 2322071071. The next prime is 2322071077. The reversal of 2322071072 is 2701702232.

2322071072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2296709776 + 25361296 = 47924^2 + 5036^2 .

It is not an unprimeable number, because it can be changed into a prime (2322071071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2376248 + ... + 2377224.

Almost surely, 22322071072 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 2322071072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440099242).

2322071072 is an abundant number, since it is smaller than the sum of its proper divisors (2558127412).

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

2322071072 is a wasteful number, since it uses less digits than its factorization.

2322071072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 2322071072 is about 48187.8726652256. The cubic root of 2322071072 is about 1324.2149990238.

The spelling of 2322071072 in words is "two billion, three hundred twenty-two million, seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 257 272 289 514 544 578 977 1028 1156 1954 2056 2312 3908 4112 4369 4624 7816 8224 8738 9248 15632 16609 17476 31264 33218 34952 66436 69904 74273 132872 139808 148546 251089 265744 282353 297092 502178 531488 564706 594184 1004356 1129412 1188368 2008712 2258824 2376736 4017424 4268513 4517648 8034848 8537026 9035296 17074052 34148104 68296208 72564721 136592416 145129442 290258884 580517768 1161035536 2322071072