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293097718225 = 5213283292
BaseRepresentation
bin1000100001111011111…
…11000100000111010001
31001000112111001210011101
410100331333010013101
514300231003440400
6342351445144401
730114143333014
oct4207577040721
91030474053141
10293097718225
111033360258a4
12489799bb101
132183cb4aa00
141028658137b
15795674856a
hex443dfc41d1

293097718225 has 27 divisors (see below), whose sum is σ = 393595979283. Its totient is φ = 216415405440.

The previous prime is 293097718213. The next prime is 293097718229. The reversal of 293097718225 is 522817790392.

The square root of 293097718225 is 541385.

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

It can be written as a sum of positive squares in 13 ways, for example, as 284294775249 + 8802942976 = 533193^2 + 93824^2 .

It is not a de Polignac number, because 293097718225 - 219 = 293097193937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (293097718229) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 35185861 + ... + 35194189.

Almost surely, 2293097718225 is an apocalyptic number.

293097718225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

293097718225 is the 541385-th square number.

293097718225 is the 270693-rd centered octagonal number.

It is an amenable number.

293097718225 is a deficient number, since it is larger than the sum of its proper divisors (100498261058).

293097718225 is an frugal number, since it uses more digits than its factorization.

293097718225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16694 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 293097718225 in words is "two hundred ninety-three billion, ninety-seven million, seven hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 8329 41645 108277 208225 541385 1407601 2706925 7038005 35190025 69372241 346861205 901839133 1734306025 4509195665 11723908729 22545978325 58619543645 293097718225