Search a number
-
+
105226225 = 52131991627
BaseRepresentation
bin1100100010110…
…01111111110001
321100000001020121
412101121333301
5203414214400
614235210241
72415256666
oct621317761
9240001217
10105226225
1154441025
122b2a6981
1318a53550
14dd91a6d
15938821a
hex6459ff1

105226225 has 24 divisors (see below), whose sum is σ = 141310400. Its totient is φ = 77267520.

The previous prime is 105226201. The next prime is 105226229. The reversal of 105226225 is 522622501.

It is a happy number.

It is not a de Polignac number, because 105226225 - 25 = 105226193 is a prime.

It is a super-3 number, since 3×1052262253 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 105226225.

It is not an unprimeable number, because it can be changed into a prime (105226229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63862 + ... + 65488.

Almost surely, 2105226225 is an apocalyptic number.

It is an amenable number.

105226225 is a deficient number, since it is larger than the sum of its proper divisors (36084175).

105226225 is a wasteful number, since it uses less digits than its factorization.

105226225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 105226225 is about 10257.9834762979. The cubic root of 105226225 is about 472.1079677960.

Adding to 105226225 its reverse (522622501), we get a palindrome (627848726).

The spelling of 105226225 in words is "one hundred five million, two hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 199 325 995 1627 2587 4975 8135 12935 21151 40675 64675 105755 323773 528775 1618865 4209049 8094325 21045245 105226225