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235469025 = 3452112312
BaseRepresentation
bin11100000100011…
…11100011100001
3121102002001210000
432002033203201
5440240002100
635210530213
75556311421
oct1602174341
9542061700
10235469025
11110a09400
1266a36969
1339a256ac
14233b6481
1515a13900
hexe08f8e1

235469025 has 135 divisors (see below), whose sum is σ = 495390819. Its totient is φ = 110484000.

The previous prime is 235468993. The next prime is 235469029. The reversal of 235469025 is 520964532.

The square root of 235469025 is 15345.

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

235469025 is a `hidden beast` number, since 2 + 3 + 546 + 90 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84768849 + 150700176 = 9207^2 + 12276^2 .

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

It is not a de Polignac number, because 235469025 - 25 = 235468993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (235469029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7595760 + ... + 7595790.

Almost surely, 2235469025 is an apocalyptic number.

235469025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

235469025 is the 15345-th square number.

235469025 is the 7673-rd centered octagonal number.

It is an amenable number.

235469025 is an abundant number, since it is smaller than the sum of its proper divisors (259921794).

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

235469025 is a wasteful number, since it uses less digits than its factorization.

235469025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The cubic root of 235469025 is about 617.5108533991.

Multiplying 235469025 by its sum of digits (36), we get a square (8476884900 = 920702).

The spelling of 235469025 in words is "two hundred thirty-five million, four hundred sixty-nine thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 31 33 45 55 75 81 93 99 121 135 155 165 225 275 279 297 341 363 405 465 495 605 675 775 825 837 891 961 1023 1089 1395 1485 1705 1815 2025 2325 2475 2511 2883 3025 3069 3267 3751 4185 4455 4805 5115 5445 6975 7425 8525 8649 9075 9207 9801 10571 11253 12555 14415 15345 16335 18755 20925 22275 24025 25575 25947 27225 27621 31713 33759 43245 46035 49005 52855 56265 62775 72075 76725 77841 81675 93775 95139 101277 116281 129735 138105 158565 168795 216225 230175 245025 264275 281325 285417 303831 348843 389205 475695 506385 581405 648675 690525 792825 843975 856251 1046529 1427085 1519155 1744215 1946025 2378475 2531925 2907025 3139587 4281255 5232645 7135425 7595775 8721075 9418761 15697935 21406275 26163225 47093805 78489675 235469025