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2287804561 = 7268332
BaseRepresentation
bin1000100001011101…
…0010000010010001
312220102220111212021
42020113102002101
514141134221221
61015003331441
7110460006100
oct21027220221
95812814767
102287804561
11a74451479
1253a220b81
132a5c95213
14179bb6037
15d5cb3041
hex885d2091

2287804561 has 9 divisors (see below), whose sum is σ = 2661713211. Its totient is φ = 1960688352.

The previous prime is 2287804553. The next prime is 2287804583. The reversal of 2287804561 is 1654087822.

It is a happy number.

The square root of 2287804561 is 47831.

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., 285779025 + 2002025536 = 16905^2 + 44744^2 .

It is not a de Polignac number, because 2287804561 - 23 = 2287804553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2287804501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 331401 + ... + 338233.

Almost surely, 22287804561 is an apocalyptic number.

2287804561 is the 47831-st square number.

2287804561 is the 23916-th centered octagonal number.

It is an amenable number.

2287804561 is a deficient number, since it is larger than the sum of its proper divisors (373908650).

2287804561 is an frugal number, since it uses more digits than its factorization.

2287804561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13680 (or 6840 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The cubic root of 2287804561 is about 1317.6689347184.

The spelling of 2287804561 in words is "two billion, two hundred eighty-seven million, eight hundred four thousand, five hundred sixty-one".

Divisors: 1 7 49 6833 47831 334817 46689889 326829223 2287804561