223213323201000 has 1024 divisors, whose sum is σ = 776000010240000. Its totient is φ = 52968609792000.

The previous prime is 223213323200981. The next prime is 223213323201107. The reversal of 223213323201000 is 102323312322.

223213323201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223213323201000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 149908208256 + ... + 149908209744.

It is an arithmetic number, because the mean of its divisors is an integer number (757812510000).

Almost surely, 2^{223213323201000} is an apocalyptic number.

223213323201000 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 223213323201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388000005120000).

223213323201000 is an abundant number, since it is smaller than the sum of its proper divisors (552786687039000).

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

223213323201000 is a wasteful number, since it uses less digits than its factorization.

223213323201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 223213323201000 its reverse (102323312322), we get a palindrome (223315646513322).

The spelling of 223213323201000 in words is "two hundred twenty-three trillion, two hundred thirteen billion, three hundred twenty-three million, two hundred one thousand".