221533660223300 has 144 divisors (see below), whose sum is σ = 488626572772800. Its totient is φ = 87168072499200.

The previous prime is 221533660223299. The next prime is 221533660223321. The reversal of 221533660223300 is 3322066335122.

It is a super-2 number, since 2×221533660223300² (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 47 ways as a sum of consecutive naturals, for example, 5038383716 + ... + 5038427684.

It is an arithmetic number, because the mean of its divisors is an integer number (3393240088700).

Almost surely, 2^{221533660223300} is an apocalyptic number.

221533660223300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221533660223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244313286386400).

221533660223300 is an abundant number, since it is smaller than the sum of its proper divisors (267092912549500).

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

221533660223300 is a wasteful number, since it uses less digits than its factorization.

221533660223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46966 (or 46959 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 38.

The spelling of 221533660223300 in words is "two hundred twenty-one trillion, five hundred thirty-three billion, six hundred sixty million, two hundred twenty-three thousand, three hundred".