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229990262329 = 2322927192
BaseRepresentation
bin1101011000110001111…
…1001110011000111001
3210222122102020212022001
43112030133032120321
512232010001343304
6253353413301001
722421241655102
oct3261437163071
9728572225261
10229990262329
11895a1564173
12386a7334761
13188c3684c29
14b1bb1133a9
155eb12c7da4
hex358c7ce639

229990262329 has 27 divisors (see below), whose sum is σ = 249347783503. Its totient is φ = 212109383024.

The previous prime is 229990262323. The next prime is 229990262357. The reversal of 229990262329 is 923262099922.

The square root of 229990262329 is 479573.

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., 120601314729 + 109388947600 = 347277^2 + 330740^2 .

It is not a de Polignac number, because 229990262329 - 29 = 229990261817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 229990262329.

It is not an unprimeable number, because it can be changed into a prime (229990262323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 319874832 + ... + 319875550.

Almost surely, 2229990262329 is an apocalyptic number.

229990262329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

229990262329 is the 479573-rd square number.

229990262329 is the 239787-th centered octagonal number.

It is an amenable number.

229990262329 is a deficient number, since it is larger than the sum of its proper divisors (19357521174).

229990262329 is an frugal number, since it uses more digits than its factorization.

229990262329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The spelling of 229990262329 in words is "two hundred twenty-nine billion, nine hundred ninety million, two hundred sixty-two thousand, three hundred twenty-nine".

Divisors: 1 23 29 529 667 719 841 15341 16537 19343 20851 380351 444889 479573 516961 604679 11030179 11890103 13907617 14991869 273472369 319875191 344812987 434764201 7930698701 9999576623 229990262329