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266832225 = 3652114
BaseRepresentation
bin11111110011110…
…00100101100001
3200121002111000000
433321320211201
51021302112400
642251050213
76420015342
oct1771704541
9617074000
10266832225
11127690000
1275440969
1343386cba
142761c0c9
151865b600
hexfe78961

266832225 has 105 divisors (see below), whose sum is σ = 545685715. Its totient is φ = 129373200.

The previous prime is 266832199. The next prime is 266832229. The reversal of 266832225 is 522238662.

The square root of 266832225 is 16335.

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., 96059601 + 170772624 = 9801^2 + 13068^2 .

It is not a de Polignac number, because 266832225 - 215 = 266799457 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (69120) is a multiple of the sum of its prime factors (72).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 266832225.

It is not an unprimeable number, because it can be changed into a prime (266832229) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 24257470 + ... + 24257480.

Almost surely, 2266832225 is an apocalyptic number.

266832225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

266832225 is the 16335-th square number.

266832225 is the 8168-th centered octagonal number.

It is an amenable number.

266832225 is an abundant number, since it is smaller than the sum of its proper divisors (278853490).

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

266832225 is an frugal number, since it uses more digits than its factorization.

266832225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 19 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The cubic root of 266832225 is about 643.7927661914.

Multiplying 266832225 by its sum of digits (36), we get a square (9605960100 = 980102).

The spelling of 266832225 in words is "two hundred sixty-six million, eight hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 243 275 297 363 405 495 605 675 729 825 891 1089 1215 1331 1485 1815 2025 2475 2673 3025 3267 3645 3993 4455 5445 6075 6655 7425 8019 9075 9801 11979 13365 14641 16335 18225 19965 22275 27225 29403 33275 35937 40095 43923 49005 59895 66825 73205 81675 88209 99825 107811 131769 147015 179685 200475 219615 245025 299475 323433 366025 395307 441045 539055 658845 735075 898425 970299 1098075 1185921 1617165 1976535 2205225 2695275 3294225 3557763 4851495 5929605 8085825 9882675 10673289 17788815 24257475 29648025 53366445 88944075 266832225