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2230431441 = 37229523207
BaseRepresentation
bin1000010011110001…
…1010111011010001
312202102221122201220
42010330122323101
514031442301231
61005153515253
7106162232400
oct20474327321
95672848656
102230431441
11a45025177
12522b72b29
13297127b24
1417231d637
15d0c2d896
hex84f1aed1

2230431441 has 24 divisors (see below), whose sum is σ = 3578742720. Its totient is φ = 1230580512.

The previous prime is 2230431421. The next prime is 2230431449. The reversal of 2230431441 is 1441340322.

2230431441 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2230431441 - 25 = 2230431409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2230431449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257341 + ... + 265866.

It is an arithmetic number, because the mean of its divisors is an integer number (149114280).

Almost surely, 22230431441 is an apocalyptic number.

2230431441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2230431441 is a deficient number, since it is larger than the sum of its proper divisors (1348311279).

2230431441 is a wasteful number, since it uses less digits than its factorization.

2230431441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523253 (or 523246 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2230431441 is about 47227.4437271381. The cubic root of 2230431441 is about 1306.5608059788.

Adding to 2230431441 its reverse (1441340322), we get a palindrome (3671771763).

The spelling of 2230431441 in words is "two billion, two hundred thirty million, four hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 4263 523207 1569621 3662449 10987347 15173003 25637143 45519009 76911429 106211021 318633063 743477147 2230431441