223228845841 has 9 divisors (see below), whose sum is σ = 230677199739. Its totient is φ = 216013741200.

The previous prime is 223228845823. The next prime is 223228845857. The reversal of 223228845841 is 148548822322.

The square root of 223228845841 is 472471.

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., 176676468241 + 46552377600 = 420329^2 + 215760^2 .

It is not a de Polignac number, because 223228845841 - 2¹⁷ = 223228714769 is a prime.

It is a super-3 number, since 3×223228845841³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223228845871) 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, 14638981 + ... + 14654221.

It is an arithmetic number, because the mean of its divisors is an integer number (25630799971).

Almost surely, 2^223228845841 is an apocalyptic number.

223228845841 is the 472471-st square number.

223228845841 is the 236236-th centered octagonal number.

It is an amenable number.

223228845841 is a deficient number, since it is larger than the sum of its proper divisors (7448353898).

223228845841 is an frugal number, since it uses more digits than its factorization.

223228845841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30544 (or 15272 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 49.

Multiplying 223228845841 by its sum of digits (49), we get a square (10938213446209 = 3307297²).

The spelling of 223228845841 in words is "two hundred twenty-three billion, two hundred twenty-eight million, eight hundred forty-five thousand, eight hundred forty-one".