2226657855601 has 9 divisors (see below), whose sum is σ = 2235140265099. Its totient is φ = 2218207532664.

The previous prime is 2226657855593. The next prime is 2226657855629. The reversal of 2226657855601 is 1065587566222.

The square root of 2226657855601 is 1492199.

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., 383786445025 + 1842871410576 = 619505^2 + 1357524^2 .

It is not a de Polignac number, because 2226657855601 - 2³ = 2226657855593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2226657855101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 413336430 + ... + 413341816.

Almost surely, 2^{2226657855601} is an apocalyptic number.

2226657855601 is the 1492199-th square number.

2226657855601 is the 746100-th centered octagonal number.

It is an amenable number.

2226657855601 is a deficient number, since it is larger than the sum of its proper divisors (8482409498).

2226657855601 is an frugal number, since it uses more digits than its factorization.

2226657855601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 2226657855601 in words is "two trillion, two hundred twenty-six billion, six hundred fifty-seven million, eight hundred fifty-five thousand, six hundred one".