223145033400 has 144 divisors (see below), whose sum is σ = 752948322360. Its totient is φ = 59223225600.

The previous prime is 223145033399. The next prime is 223145033437. The reversal of 223145033400 is 4330541322.

223145033400 is a `hidden beast` number, since 2 + 2 + 314 + 5 + 0 + 3 + 340 + 0 = 666.

It is a super-3 number, since 3×223145033400³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86034 + ... + 673566.

Almost surely, 2^223145033400 is an apocalyptic number.

223145033400 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 223145033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376474161180).

223145033400 is an abundant number, since it is smaller than the sum of its proper divisors (529803288960).

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

223145033400 is a wasteful number, since it uses less digits than its factorization.

223145033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587766 (or 587754 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 223145033400 its reverse (4330541322), we get a palindrome (227475574722).

The spelling of 223145033400 in words is "two hundred twenty-three billion, one hundred forty-five million, thirty-three thousand, four hundred".