226735600 has 120 divisors (see below), whose sum is σ = 670547360. Its totient is φ = 71746560.

The previous prime is 226735583. The next prime is 226735631. The reversal of 226735600 is 6537622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33286 + ... + 39514.

Almost surely, 2^226735600 is an apocalyptic number.

226735600 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 226735600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335273680).

226735600 is an abundant number, since it is smaller than the sum of its proper divisors (443811760).

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

226735600 is a wasteful number, since it uses less digits than its factorization.

226735600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 226735600 is about 15057.7421946320. The cubic root of 226735600 is about 609.7800873501.

The spelling of 226735600 in words is "two hundred twenty-six million, seven hundred thirty-five thousand, six hundred".