226968000 has 336 divisors, whose sum is σ = 876324384. Its totient is φ = 51609600.

The previous prime is 226967999. The next prime is 226968011. The reversal of 226968000 is 869622.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175904 + ... + 1176096.

Almost surely, 2^226968000 is an apocalyptic number.

226968000 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 226968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438162192).

226968000 is an abundant number, since it is smaller than the sum of its proper divisors (649356384).

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

226968000 is a wasteful number, since it uses less digits than its factorization.

226968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 226968000 is about 15065.4571785924. The cubic root of 226968000 is about 609.9883541627.

The spelling of 226968000 in words is "two hundred twenty-six million, nine hundred sixty-eight thousand".