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305405443225 = 521105272
BaseRepresentation
bin1000111000110111001…
…01010011110010011001
31002012022020012222212001
410130123211103302121
520000432243140400
6352145030321001
731031142302131
oct4343345236231
91065266188761
10305405443225
11108581457853
124b2337b9161
1322a5198651c
1410ad2dc3ac1
157e27001a6a
hex471b953c99

305405443225 has 9 divisors (see below), whose sum is σ = 378706175967. Its totient is φ = 244322144040.

The previous prime is 305405443201. The next prime is 305405443237. The reversal of 305405443225 is 522344504503.

The square root of 305405443225 is 552635.

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

It can be written as a sum of positive squares in only one way, i.e., 109945959561 + 195459483664 = 331581^2 + 442108^2 .

It is not a de Polignac number, because 305405443225 - 25 = 305405443193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2707912 + ... + 2818438.

Almost surely, 2305405443225 is an apocalyptic number.

305405443225 is the 552635-th square number.

305405443225 is the 276318-th centered octagonal number.

It is an amenable number.

305405443225 is a deficient number, since it is larger than the sum of its proper divisors (73300732742).

305405443225 is an frugal number, since it uses more digits than its factorization.

305405443225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221064 (or 110532 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

Adding to 305405443225 its reverse (522344504503), we get a palindrome (827749947728).

The spelling of 305405443225 in words is "three hundred five billion, four hundred five million, four hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 110527 552635 2763175 12216217729 61081088645 305405443225