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5225445225 = 32527111323201
BaseRepresentation
bin1001101110111010…
…11111011101101001
3111111011121010021100
410313131133131221
541200203221400
62222303232013
7243330360120
oct46735373551
914434533240
105225445225
11224169a380
121019ba8609
13653784930
14377dc8ab7
15208b3a100
hex13775f769

5225445225 has 144 divisors (see below), whose sum is σ = 12566945664. Its totient is φ = 2004480000.

The previous prime is 5225445223. The next prime is 5225445241.

5225445225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5225445225 - 21 = 5225445223 is a prime.

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 5225445225.

It is not an unprimeable number, because it can be changed into a prime (5225445223) 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, 213625 + ... + 236825.

It is an arithmetic number, because the mean of its divisors is an integer number (87270456).

Almost surely, 25225445225 is an apocalyptic number.

5225445225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5225445225 is an abundant number, since it is smaller than the sum of its proper divisors (7341500439).

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

5225445225 is a wasteful number, since it uses less digits than its factorization.

5225445225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23248 (or 23240 counting only the distinct ones).

The product of its digits is 160000, while the sum is 36.

The square root of 5225445225 is about 72287.2410941239. The cubic root of 5225445225 is about 1735.2994663398.

It can be divided in two parts, 52254 and 45225, that added together give a palindrome (97479).

The spelling of 5225445225 in words is "five billion, two hundred twenty-five million, four hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 13 15 21 25 33 35 39 45 55 63 65 75 77 91 99 105 117 143 165 175 195 225 231 273 275 315 325 385 429 455 495 525 585 693 715 819 825 975 1001 1155 1287 1365 1575 1925 2145 2275 2475 2925 3003 3465 3575 4095 5005 5775 6435 6825 9009 10725 15015 17325 20475 23201 25025 32175 45045 69603 75075 116005 162407 208809 225225 255211 301613 348015 487221 580025 765633 812035 904839 1044045 1276055 1461663 1508065 1740075 1786477 2111291 2296899 2436105 2714517 3317743 3828165 4060175 4524195 5220225 5359431 6333873 6380275 7308315 7540325 8932385 9953229 10556455 11484495 12180525 13572585 16078293 16588715 19001619 19140825 22620975 23224201 26797155 29859687 31669365 36541575 44661925 49766145 52782275 57422475 67862925 69672603 80391465 82943575 95008095 116121005 133985775 149298435 158346825 209017809 248830725 348363015 401957325 475040475 580605025 746492175 1045089045 1741815075 5225445225