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2241017352 = 2332727972
BaseRepresentation
bin1000010110010011…
…0011011000001000
312210011212110212200
42011210303120020
514042200023402
61010212440200
7106351222200
oct20544633010
95704773780
102241017352
11a4aaa5562
12526619060
13299393292
141738b7400
15d1b2021c
hex85933608

2241017352 has 108 divisors (see below), whose sum is σ = 7069217805. Its totient is φ = 639487296.

The previous prime is 2241017327. The next prime is 2241017371. The reversal of 2241017352 is 2537101422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2240507556 + 509796 = 47334^2 + 714^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33474.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2811418 + ... + 2812214.

Almost surely, 22241017352 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 2241017352

2241017352 is an abundant number, since it is smaller than the sum of its proper divisors (4828200453).

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

2241017352 is an equidigital number, since it uses as much as digits as its factorization.

2241017352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2241017352 is about 47339.3847868770. The cubic root of 2241017352 is about 1308.6245789668.

Adding to 2241017352 its reverse (2537101422), we get a palindrome (4778118774).

The spelling of 2241017352 in words is "two billion, two hundred forty-one million, seventeen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 797 882 1176 1594 1764 2391 3188 3528 4782 5579 6376 7173 9564 11158 14346 16737 19128 22316 28692 33474 39053 44632 50211 57384 66948 78106 100422 117159 133896 156212 200844 234318 312424 351477 401688 468636 635209 702954 937272 1270418 1405908 1905627 2540836 2811816 3811254 4446463 5081672 5716881 7622508 8892926 11433762 13339389 15245016 17785852 22867524 26678778 31125241 35571704 40018167 45735048 53357556 62250482 80036334 93375723 106715112 124500964 160072668 186751446 249001928 280127169 320145336 373502892 560254338 747005784 1120508676 2241017352