226974000 has 320 divisors, whose sum is σ = 844945920. Its totient is φ = 51840000.

The previous prime is 226973933. The next prime is 226974001. The reversal of 226974000 is 479622.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (226974001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1253910 + ... + 1254090.

It is an arithmetic number, because the mean of its divisors is an integer number (2640456).

Almost surely, 2^226974000 is an apocalyptic number.

226974000 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 226974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422472960).

226974000 is an abundant number, since it is smaller than the sum of its proper divisors (617971920).

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

226974000 is a wasteful number, since it uses less digits than its factorization.

226974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 226974000 is about 15065.6563083060. The cubic root of 226974000 is about 609.9937292198.

The spelling of 226974000 in words is "two hundred twenty-six million, nine hundred seventy-four thousand".