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2230945792 = 211411632
BaseRepresentation
bin1000010011111001…
…1000100000000000
312202110220210021221
42010332120200000
514032110231132
61005212524424
7106166504065
oct20476304000
95673823257
102230945792
11a45346659
12523180714
13297277c8a
14172414c6c
15d0cd0e97
hex84f98800

2230945792 has 72 divisors (see below), whose sum is σ = 4597808670. Its totient is φ = 1081589760.

The previous prime is 2230945771. The next prime is 2230945793. The reversal of 2230945792 is 2975490322.

It can be written as a sum of positive squares in only one way, i.e., 2203739136 + 27206656 = 46944^2 + 5216^2 .

It is a super-3 number, since 3×22309457923 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2230945793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13686703 + ... + 13686865.

Almost surely, 22230945792 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 2230945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298904335).

2230945792 is an abundant number, since it is smaller than the sum of its proper divisors (2366862878).

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

2230945792 is an frugal number, since it uses more digits than its factorization.

2230945792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 2230945792 is about 47232.8888805248. Note that the first 5 decimals coincide. The cubic root of 2230945792 is about 1306.6612318715.

The spelling of 2230945792 in words is "two billion, two hundred thirty million, nine hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 163 164 256 326 328 512 652 656 1024 1304 1312 2048 2608 2624 5216 5248 6683 10432 10496 13366 20864 20992 26569 26732 41728 41984 53138 53464 83456 83968 106276 106928 166912 212552 213856 333824 425104 427712 850208 855424 1089329 1700416 1710848 2178658 3400832 3421696 4357316 6801664 6843392 8714632 13603328 13686784 17429264 27206656 34858528 54413312 69717056 139434112 278868224 557736448 1115472896 2230945792