[go: up one dir, main page]

Search a number
-
+
253023225 = 352713131283
BaseRepresentation
bin11110001010011…
…01001111111001
3122122002220121120
433011031033321
51004233220400
641035055453
76161443020
oct1705151771
9578086546
10253023225
1111a909104
12708a1589
13405607b0
14258658b7
151732eca0
hexf14d3f9

253023225 has 96 divisors (see below), whose sum is σ = 520633344. Its totient is φ = 105580800.

The previous prime is 253023191. The next prime is 253023263. The reversal of 253023225 is 522320352.

It is not a de Polignac number, because 253023225 - 28 = 253022969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253023195 and 253023204.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 893934 + ... + 894216.

It is an arithmetic number, because the mean of its divisors is an integer number (5423264).

Almost surely, 2253023225 is an apocalyptic number.

253023225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253023225 is an abundant number, since it is smaller than the sum of its proper divisors (267610119).

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

253023225 is a wasteful number, since it uses less digits than its factorization.

253023225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 253023225 is about 15906.7037754527. The cubic root of 253023225 is about 632.4897070091.

Adding to 253023225 its reverse (522320352), we get a palindrome (775343577).

The spelling of 253023225 in words is "two hundred fifty-three million, twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 131 175 195 273 283 325 393 455 525 655 849 917 975 1365 1415 1703 1965 1981 2275 2751 3275 3679 4245 4585 5109 5943 6825 7075 8515 9825 9905 11037 11921 13755 18395 21225 22925 25545 25753 29715 35763 37073 42575 49525 55185 59605 68775 77259 91975 111219 127725 128765 148575 178815 185365 259511 275925 298025 386295 481949 556095 643825 778533 894075 926825 1297555 1445847 1931475 2409745 2780475 3373643 3892665 6487775 7229235 10120929 12048725 16868215 19463325 36146175 50604645 84341075 253023225