226605144000 has 224 divisors, whose sum is σ = 750935345472. Its totient is φ = 60211200000.

The previous prime is 226605143993. The next prime is 226605144011. The reversal of 226605144000 is 441506622.

226605144000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6727200 + ... + 6760800.

Almost surely, 2^226605144000 is an apocalyptic number.

226605144000 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 226605144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375467672736).

226605144000 is an abundant number, since it is smaller than the sum of its proper divisors (524330201472).

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

226605144000 is a wasteful number, since it uses less digits than its factorization.

226605144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33912 (or 33892 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 226605144000 in words is "two hundred twenty-six billion, six hundred five million, one hundred forty-four thousand".