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345256132225 = 521175172
BaseRepresentation
bin1010000011000101101…
…11100111111010000001
31020000011111022202011111
411001202313213322001
521124041032212400
6422335233043321
733641524462654
oct5014267477201
91200144282144
10345256132225
111234710a4274
1256ab56b6541
1326732b1b684
14129d380589b
158eaa8433ba
hex5062de7e81

345256132225 has 9 divisors (see below), whose sum is σ = 428121247017. Its totient is φ = 276202555440.

The previous prime is 345256132181. The next prime is 345256132237. The reversal of 345256132225 is 522231652543.

The square root of 345256132225 is 587585.

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

It can be written as a sum of positive squares in 4 ways, for example, as 86557758849 + 258698373376 = 294207^2 + 508624^2 .

It is not a de Polignac number, because 345256132225 - 29 = 345256131713 is a prime.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2879167 + ... + 2996683.

Almost surely, 2345256132225 is an apocalyptic number.

345256132225 is the 587585-th square number.

345256132225 is the 293793-rd centered octagonal number.

It is an amenable number.

345256132225 is a deficient number, since it is larger than the sum of its proper divisors (82865114792).

345256132225 is an frugal number, since it uses more digits than its factorization.

345256132225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235044 (or 117522 counting only the distinct ones).

The product of its digits is 432000, while the sum is 40.

Adding to 345256132225 its reverse (522231652543), we get a palindrome (867487784768).

It can be divided in two parts, 345256 and 132225, that added together give a square (477481 = 6912).

The spelling of 345256132225 in words is "three hundred forty-five billion, two hundred fifty-six million, one hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 117517 587585 2937925 13810245289 69051226445 345256132225