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275430784225 = 5243224412
BaseRepresentation
bin1000000001000001111…
…01000011110011100001
3222022221020121112210111
410000200331003303201
514003040240043400
6330310421331321
725620301015552
oct4004075036341
9868836545714
10275430784225
11a689a5518a3
1245469266b41
131cc859248cc
14d48c094329
1572707313ba
hex4020f43ce1

275430784225 has 27 divisors (see below), whose sum is σ = 349804844409. Its totient is φ = 215132164800.

The previous prime is 275430784207. The next prime is 275430784267. The reversal of 275430784225 is 522487034572.

The square root of 275430784225 is 524815.

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 90678674641 + 184752109584 = 301129^2 + 429828^2 .

It is not a de Polignac number, because 275430784225 - 215 = 275430751457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112834005 + ... + 112836445.

Almost surely, 2275430784225 is an apocalyptic number.

275430784225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

275430784225 is the 524815-th square number.

275430784225 is the 262408-th centered octagonal number.

It is an amenable number.

275430784225 is a deficient number, since it is larger than the sum of its proper divisors (74374060184).

275430784225 is an frugal number, since it uses more digits than its factorization.

275430784225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 49.

Multiplying 275430784225 by its sum of digits (49), we get a square (13496108427025 = 36737052).

The spelling of 275430784225 in words is "two hundred seventy-five billion, four hundred thirty million, seven hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 43 215 1075 1849 2441 9245 12205 46225 61025 104963 524815 2624075 4513409 5958481 22567045 29792405 112835225 148962025 256214683 1281073415 6405367075 11017231369 55086156845 275430784225