226742208 has 224 divisors, whose sum is σ = 765657600. Its totient is φ = 58705920.

The previous prime is 226742207. The next prime is 226742227. The reversal of 226742208 is 802247622.

226742208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226742207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724260 + ... + 724572.

Almost surely, 2^226742208 is an apocalyptic number.

226742208 is a gapful number since it is divisible by the number (28) 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 226742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382828800).

226742208 is an abundant number, since it is smaller than the sum of its proper divisors (538915392).

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

226742208 is a wasteful number, since it uses less digits than its factorization.

226742208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 226742208 is about 15057.9616150394. The cubic root of 226742208 is about 609.7860111187.

The spelling of 226742208 in words is "two hundred twenty-six million, seven hundred forty-two thousand, two hundred eight".