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269345430225 = 34521926072
BaseRepresentation
bin1111101011011000111…
…1010001101011010001
3221202020010221112110000
43322312033101223101
513403104412231400
6323422515200213
725313426244654
oct3726617215321
9852203845400
10269345430225
11a4257523313
124424b2a6069
131c525c72821
14d071bc789b
157016388600
hex3eb63d1ad1

269345430225 has 135 divisors (see below), whose sum is σ = 527430799467. Its totient is φ = 135866121120.

The previous prime is 269345430181. The next prime is 269345430227. The reversal of 269345430225 is 522034543962.

The square root of 269345430225 is 518985.

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

269345430225 is a `hidden beast` number, since 269 + 34 + 54 + 302 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96964354881 + 172381075344 = 311391^2 + 415188^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 269345430225 - 29 = 269345429713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (269345430227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 443731872 + ... + 443732478.

Almost surely, 2269345430225 is an apocalyptic number.

269345430225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

269345430225 is the 518985-th square number.

269345430225 is the 259493-rd centered octagonal number.

It is an amenable number.

269345430225 is a deficient number, since it is larger than the sum of its proper divisors (258085369242).

269345430225 is an frugal number, since it uses more digits than its factorization.

269345430225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 269345430225 in words is "two hundred sixty-nine billion, three hundred forty-five million, four hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 285 361 405 475 513 607 675 855 1083 1425 1539 1805 1821 2025 2565 3035 3249 4275 5415 5463 7695 9025 9105 9747 11533 12825 15175 16245 16389 27075 27315 29241 34599 38475 45525 48735 49167 57665 81225 81945 103797 136575 146205 172995 219127 243675 245835 288325 311391 368449 409725 518985 657381 731025 864975 934173 1095635 1105347 1229175 1556955 1842245 1972143 2594925 3286905 3316041 4670865 5478175 5526735 5916429 7000531 7784775 9211225 9860715 9948123 16434525 16580205 17749287 21001593 23354325 27633675 29582145 29844369 35002655 49303575 49740615 63004779 82901025 88746435 105007965 133010089 147910725 149221845 175013275 189014337 248703075 315023895 399030267 443732175 525039825 567043011 665050445 746109225 945071685 1197090801 1575119475 1995151335 2835215055 3325252225 3591272403 4725358425 5985454005 9975756675 10773817209 14176075275 17956362015 29927270025 53869086045 89781810075 269345430225