Search a number
-
+
253296225 = 325271389139
BaseRepresentation
bin11110001100011…
…11111001100001
3122122121210002200
433012033321201
51004320434400
641045003413
76163660650
oct1706177141
9578553080
10253296225
1111aa85226
12709b3569
1340627b30
14258d7197
1517385b00
hexf18fe61

253296225 has 144 divisors (see below), whose sum is σ = 568713600. Its totient is φ = 104924160.

The previous prime is 253296223. The next prime is 253296233. The reversal of 253296225 is 522692352.

It is a happy number.

253296225 is a `hidden beast` number, since 2 + 5 + 3 + 29 + 622 + 5 = 666.

It is not a de Polignac number, because 253296225 - 21 = 253296223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253296225.

It is not an unprimeable number, because it can be changed into a prime (253296221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1822206 + ... + 1822344.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2253296225 is an apocalyptic number.

253296225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253296225 is an abundant number, since it is smaller than the sum of its proper divisors (315417375).

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

253296225 is a wasteful number, since it uses less digits than its factorization.

253296225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

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

The square root of 253296225 is about 15915.2827496089. The cubic root of 253296225 is about 632.7171006623.

The spelling of 253296225 in words is "two hundred fifty-three million, two hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 89 91 105 117 139 175 195 225 267 273 315 325 417 445 455 525 585 623 695 801 819 973 975 1157 1251 1335 1365 1575 1807 1869 2085 2225 2275 2919 2925 3115 3471 3475 4005 4095 4865 5421 5607 5785 6255 6675 6825 8099 8757 9035 9345 10413 10425 12371 12649 14595 15575 16263 17355 20025 20475 24297 24325 27105 28035 28925 31275 37113 37947 40495 43785 45175 46725 52065 61855 63245 72891 72975 81315 86597 86775 111339 113841 121485 135525 140175 160823 185565 189735 202475 218925 259791 260325 309275 316225 364455 406575 432985 482469 556695 569205 607425 779373 804115 927825 948675 1125761 1298955 1447407 1822275 2164925 2412345 2783475 2846025 3377283 3896865 4020575 5628805 6494775 7237035 10131849 12061725 16886415 19484325 28144025 36185175 50659245 84432075 253296225