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226396409925625 = 545921014
BaseRepresentation
bin110011011110100000000101…
…100101111000111111111001
31002200121021201001211210220121
4303132200011211320333321
5214133234321420110000
62121301024103053241
765454413042536522
oct6336400545707771
91080537631753817
10226396409925625
11661561a6296115
1221485183741221
139943122527674
143dc9905109849
151b29154505b1a
hexcde805978ff9

226396409925625 has 75 divisors (see below), whose sum is σ = 290659036448605. Its totient is φ = 176284501100000.

The previous prime is 226396409925563. The next prime is 226396409925661. The reversal of 226396409925625 is 526529904693622.

The square root of 226396409925625 is 15046475.

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

It can be written as a sum of positive squares in 12 ways, for example, as 90059587540729 + 136336822384896 = 9489973^2 + 11676336^2 .

It is not a de Polignac number, because 226396409925625 - 215 = 226396409892857 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2241548613075 + ... + 2241548613175.

Almost surely, 2226396409925625 is an apocalyptic number.

226396409925625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

226396409925625 is the 15046475-th square number.

226396409925625 is the 7523238-th centered octagonal number.

It is an amenable number.

226396409925625 is a deficient number, since it is larger than the sum of its proper divisors (64262626522980).

226396409925625 is an frugal number, since it uses more digits than its factorization.

226396409925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 70.

The spelling of 226396409925625 in words is "two hundred twenty-six trillion, three hundred ninety-six billion, four hundred nine million, nine hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 59 101 125 295 505 625 1475 2525 3481 5959 7375 10201 12625 17405 29795 36875 51005 63125 87025 148975 255025 351581 435125 601859 744875 1030301 1275125 1757905 2175625 3009295 3724375 5151505 6375625 8789525 15046475 25757525 35509681 43947625 60787759 75232375 104060401 128787625 177548405 219738125 303938795 376161875 520302005 643938125 887742025 1519693975 2601510025 3586477781 4438710125 6139563659 7598469875 13007550125 17932388905 22193550625 30697818295 37992349375 65037750625 89661944525 153489091475 362234255881 448309722625 767445457375 1811171279405 2241548613125 3837227286875 9055856397025 45279281985125 226396409925625