226500672000 has 640 divisors, whose sum is σ = 820409990400. Its totient is φ = 55222272000.

The previous prime is 226500671993. The next prime is 226500672059. The reversal of 226500672000 is 276005622.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105790930 + ... + 105793070.

It is an arithmetic number, because the mean of its divisors is an integer number (1281890610).

Almost surely, 2^226500672000 is an apocalyptic number.

226500672000 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 226500672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410204995200).

226500672000 is an abundant number, since it is smaller than the sum of its proper divisors (593909318400).

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

226500672000 is a wasteful number, since it uses less digits than its factorization.

226500672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 226500672000 its reverse (276005622), we get a palindrome (226776677622).

The spelling of 226500672000 in words is "two hundred twenty-six billion, five hundred million, six hundred seventy-two thousand".