223200011232 has 288 divisors, whose sum is σ = 717064324704. Its totient is φ = 65804175360.

The previous prime is 223200011227. The next prime is 223200011341. The reversal of 223200011232 is 232110002322.

223200011232 is a `hidden beast` number, since 223 + 200 + 0 + 11 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×223200011232³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 14175268 + ... + 14191004.

It is an arithmetic number, because the mean of its divisors is an integer number (2489806683).

Almost surely, 2^223200011232 is an apocalyptic number.

223200011232 is a gapful number since it is divisible by the number (22) 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 223200011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358532162352).

223200011232 is an abundant number, since it is smaller than the sum of its proper divisors (493864313472).

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

223200011232 is a wasteful number, since it uses less digits than its factorization.

223200011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15823 (or 15790 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 223200011232 its reverse (232110002322), we get a palindrome (455310013554).

The spelling of 223200011232 in words is "two hundred twenty-three billion, two hundred million, eleven thousand, two hundred thirty-two".