226465200 has 240 divisors, whose sum is σ = 868590240. Its totient is φ = 55710720.

The previous prime is 226465171. The next prime is 226465201. The reversal of 226465200 is 2564622.

226465200 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 652 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×226465200² = 102572973622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226465201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139594 + ... + 141206.

It is an arithmetic number, because the mean of its divisors is an integer number (3619126).

Almost surely, 2^226465200 is an apocalyptic number.

226465200 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 226465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434295120).

226465200 is an abundant number, since it is smaller than the sum of its proper divisors (642125040).

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

226465200 is a wasteful number, since it uses less digits than its factorization.

226465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 226465200 is about 15048.7607463206. The cubic root of 226465200 is about 609.5375873854.

The spelling of 226465200 in words is "two hundred twenty-six million, four hundred sixty-five thousand, two hundred".