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223513225 = 5213739421
BaseRepresentation
bin11010101001010…
…00101010001001
3120120120122111121
431110220222021
5424204410400
634102355241
75352555025
oct1524505211
9516518447
10223513225
11105192881
1262a2bb21
13373ca860
1421983385
151495121a
hexd528a89

223513225 has 24 divisors (see below), whose sum is σ = 302596952. Its totient is φ = 162777600.

The previous prime is 223513223. The next prime is 223513253. The reversal of 223513225 is 522315322.

223513225 = 105712 + 105722.

It can be written as a sum of positive squares in 12 ways, for example, as 111746041 + 111767184 = 10571^2 + 10572^2 .

It is not a de Polignac number, because 223513225 - 21 = 223513223 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223513225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223513223) 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, 19015 + ... + 28435.

Almost surely, 2223513225 is an apocalyptic number.

223513225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

223513225 is the 10572-nd centered square number.

It is an amenable number.

223513225 is a deficient number, since it is larger than the sum of its proper divisors (79083727).

223513225 is a wasteful number, since it uses less digits than its factorization.

223513225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9517 (or 9512 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 223513225 is about 14950.3586913492. The cubic root of 223513225 is about 606.8775540166.

Adding to 223513225 its reverse (522315322), we get a palindrome (745828547).

The spelling of 223513225 in words is "two hundred twenty-three million, five hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 73 325 365 949 1825 4745 9421 23725 47105 122473 235525 612365 687733 3061825 3438665 8940529 17193325 44702645 223513225