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2238330721 = 114172232
BaseRepresentation
bin1000010101101010…
…0011011101100001
312202222210222111211
42011122203131201
514041003040341
61010035110121
7106316332354
oct20532433541
95688728454
102238330721
11a49530000
12525742341
13298962463
141733b829b
15d178e181
hex856a3761

2238330721 has 45 divisors (see below), whose sum is σ = 2734161955. Its totient is φ = 1831881920.

The previous prime is 2238330713. The next prime is 2238330737. The reversal of 2238330721 is 1270338322.

The square root of 2238330721 is 47311.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1742645025 + 495685696 = 41745^2 + 22264^2 .

It is not a de Polignac number, because 2238330721 - 23 = 2238330713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2238330121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97318716 + ... + 97318738.

Almost surely, 22238330721 is an apocalyptic number.

2238330721 is the 47311-st square number.

2238330721 is the 23656-th centered octagonal number.

It is an amenable number.

2238330721 is a deficient number, since it is larger than the sum of its proper divisors (495831234).

2238330721 is an frugal number, since it uses more digits than its factorization.

2238330721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The cubic root of 2238330721 is about 1308.1014241213.

The spelling of 2238330721 in words is "two billion, two hundred thirty-eight million, three hundred thirty thousand, seven hundred twenty-one".

Divisors: 1 11 17 23 121 187 253 289 391 529 1331 2057 2783 3179 4301 5819 6647 8993 14641 22627 30613 34969 47311 64009 73117 98923 152881 248897 336743 384659 520421 704099 804287 1088153 1681691 4231249 5724631 7745089 8847157 11969683 18498601 97318727 131666513 203484611 2238330721