223027223337216 has 405 divisors, whose sum is σ = 670802599085619. Its totient is φ = 73702272688128.

The previous prime is 223027223337209. The next prime is 223027223337221. The reversal of 223027223337216 is 612733322720322.

The square root of 223027223337216 is 14934096.

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

223027223337216 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 272 + 2 + 3 + 3 + 372 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9399767337216 + 213627456000000 = 3065904^2 + 14616000^2 .

It is a super-2 number, since 2×223027223337216² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 294619845510 + ... + 294619846266.

Almost surely, 2^{223027223337216} is an apocalyptic number.

223027223337216 is the 14934096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223027223337216

223027223337216 is an abundant number, since it is smaller than the sum of its proper divisors (447775375748403).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223027223337216 is an frugal number, since it uses more digits than its factorization.

223027223337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 223027223337216 in words is "two hundred twenty-three trillion, twenty-seven billion, two hundred twenty-three million, three hundred thirty-seven thousand, two hundred sixteen".