226677528000 has 2520 divisors, whose sum is σ = 1090414044720. Its totient is φ = 46303488000.

The previous prime is 226677527953. The next prime is 226677528001. The reversal of 226677528000 is 825776622.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226677528001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3841991971 + ... + 3841992029.

It is an arithmetic number, because the mean of its divisors is an integer number (432703986).

Almost surely, 2^226677528000 is an apocalyptic number.

226677528000 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 226677528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545207022360).

226677528000 is an abundant number, since it is smaller than the sum of its proper divisors (863736516720).

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

226677528000 is a wasteful number, since it uses less digits than its factorization.

226677528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 226677528000 in words is "two hundred twenty-six billion, six hundred seventy-seven million, five hundred twenty-eight thousand".