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226352025 = 3252172592
BaseRepresentation
bin11010111110111…
…01101110011001
3120202220212121100
431133131232121
5430421231100
634243302013
75415650304
oct1537355631
9522825540
10226352025
11106851699
126397a909
1337b82a13
14220c1b3b
1514d12400
hexd7ddb99

226352025 has 81 divisors (see below), whose sum is σ = 438096061. Its totient is φ = 111694080.

The previous prime is 226352017. The next prime is 226352053. The reversal of 226352025 is 520253622.

The square root of 226352025 is 15045.

It is a perfect power (a square), and thus also a powerful number.

226352025 is a `hidden beast` number, since 2 + 2 + 635 + 2 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5294601 + 221057424 = 2301^2 + 14868^2 .

It is not a de Polignac number, because 226352025 - 23 = 226352017 is a prime.

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 226352025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3836446 + ... + 3836504.

Almost surely, 2226352025 is an apocalyptic number.

226352025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

226352025 is the 15045-th square number.

226352025 is the 7523-rd centered octagonal number.

It is an amenable number.

226352025 is a deficient number, since it is larger than the sum of its proper divisors (211744036).

226352025 is a wasteful number, since it uses less digits than its factorization.

226352025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The cubic root of 226352025 is about 609.4360325458.

The spelling of 226352025 in words is "two hundred twenty-six million, three hundred fifty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 59 75 85 153 177 225 255 289 295 425 531 765 867 885 1003 1275 1445 1475 2601 2655 3009 3481 3825 4335 4425 5015 7225 9027 10443 13005 13275 15045 17051 17405 21675 25075 31329 45135 51153 52215 59177 65025 75225 85255 87025 153459 156645 177531 225675 255765 261075 295885 426275 532593 767295 783225 887655 1006009 1278825 1479425 2662965 3018027 3836475 4438275 5030045 9054081 13314825 15090135 25150225 45270405 75450675 226352025