228083611561 has 27 divisors (see below), whose sum is σ = 262482295023. Its totient is φ = 198062392320.

The previous prime is 228083611489. The next prime is 228083611573. The reversal of 228083611561 is 165116380822.

The square root of 228083611561 is 477581.

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 106491921561 + 121591690000 = 326331^2 + 348700^2 .

It is not a de Polignac number, because 228083611561 - 2¹¹ = 228083609513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (228083611061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105544321 + ... + 105546481.

Almost surely, 2^228083611561 is an apocalyptic number.

228083611561 is the 477581-st square number.

228083611561 is the 238791-st centered octagonal number.

It is an amenable number.

228083611561 is a deficient number, since it is larger than the sum of its proper divisors (34398683462).

228083611561 is an frugal number, since it uses more digits than its factorization.

228083611561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 228083611561 in words is "two hundred twenty-eight billion, eighty-three million, six hundred eleven thousand, five hundred sixty-one".