2223216801 has 75 divisors (see below), whose sum is σ = 3717653973. Its totient is φ = 1324000080.

The previous prime is 2223216773. The next prime is 2223216839. The reversal of 2223216801 is 1086123222.

The square root of 2223216801 is 47151.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1102306401 + 1120910400 = 33201^2 + 33480^2 .

It is not a de Polignac number, because 2223216801 - 2²³ = 2214828193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2223216881) 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 74 ways as a sum of consecutive naturals, for example, 71716656 + ... + 71716686.

Almost surely, 2^2223216801 is an apocalyptic number.

2223216801 is the 47151-st square number.

2223216801 is the 23576-th centered octagonal number.

It is an amenable number.

2223216801 is a deficient number, since it is larger than the sum of its proper divisors (1494437172).

2223216801 is an frugal number, since it uses more digits than its factorization.

2223216801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 2223216801 is about 1305.1505335665.

Multiplying 2223216801 by its product of nonzero digits (2304), we get a square (5122291509504 = 2263248²).

It can be divided in two parts, 2223 and 216801, that added together give a square (219024 = 468²).

The spelling of 2223216801 in words is "two billion, two hundred twenty-three million, two hundred sixteen thousand, eight hundred one".