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225263025 = 34521343199
BaseRepresentation
bin11010110110100…
…11110110110001
3120200212112210000
431123103312301
5430131404100
634204100213
75403463341
oct1533236661
9520775700
10225263025
11106178499
1263534669
1337891140
1421cbad21
1514b99900
hexd6d3db1

225263025 has 120 divisors (see below), whose sum is σ = 462123200. Its totient is φ = 107775360.

The previous prime is 225263023. The next prime is 225263029. The reversal of 225263025 is 520362522.

225263025 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 630 + 25 = 666.

It is not a de Polignac number, because 225263025 - 21 = 225263023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 225263025.

It is not an unprimeable number, because it can be changed into a prime (225263023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1131876 + ... + 1132074.

Almost surely, 2225263025 is an apocalyptic number.

225263025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225263025 is an abundant number, since it is smaller than the sum of its proper divisors (236860175).

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

225263025 is a wasteful number, since it uses less digits than its factorization.

225263025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 225263025 is about 15008.7649391947. The cubic root of 225263025 is about 608.4571104028.

The spelling of 225263025 in words is "two hundred twenty-five million, two hundred sixty-three thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 43 45 65 75 81 117 129 135 195 199 215 225 325 351 387 405 559 585 597 645 675 975 995 1053 1075 1161 1677 1755 1791 1935 2025 2587 2795 2925 2985 3225 3483 4975 5031 5265 5373 5805 7761 8385 8557 8775 8955 9675 12935 13975 14925 15093 16119 17415 23283 25155 25671 26325 26865 29025 38805 41925 42785 44775 45279 64675 69849 75465 77013 80595 87075 111241 116415 125775 128355 134325 194025 209547 213925 226395 231039 333723 349245 377325 385065 402975 556205 582075 641775 693117 1001169 1047735 1131975 1155195 1668615 1746225 1925325 2781025 3003507 3465585 5005845 5238675 5775975 8343075 9010521 15017535 17327925 25029225 45052605 75087675 225263025