226628352 has 216 divisors, whose sum is σ = 714255360. Its totient is φ = 68843520.

The previous prime is 226628351. The next prime is 226628387. The reversal of 226628352 is 253826622.

226628352 is a `hidden beast` number, since 2 + 26 + 628 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226628351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356973 + ... + 1357139.

Almost surely, 2^226628352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357127680).

226628352 is an abundant number, since it is smaller than the sum of its proper divisors (487627008).

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

226628352 is a wasteful number, since it uses less digits than its factorization.

226628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 226628352 is about 15054.1805489372. The cubic root of 226628352 is about 609.6839283456.

The spelling of 226628352 in words is "two hundred twenty-six million, six hundred twenty-eight thousand, three hundred fifty-two".