226609920 has 288 divisors, whose sum is σ = 824140800. Its totient is φ = 58945536.

The previous prime is 226609897. The next prime is 226609967. The reversal of 226609920 is 29906622.

226609920 is a `hidden beast` number, since 2 + 26 + 609 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730199 + ... + 2730281.

It is an arithmetic number, because the mean of its divisors is an integer number (2861600).

Almost surely, 2^226609920 is an apocalyptic number.

226609920 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 226609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412070400).

226609920 is an abundant number, since it is smaller than the sum of its proper divisors (597530880).

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

226609920 is an equidigital number, since it uses as much as digits as its factorization.

226609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 226609920 is about 15053.5683477374. The cubic root of 226609920 is about 609.6673990827.

It can be divided in two parts, 226609 and 920, that added together give a square (227529 = 477²).

The spelling of 226609920 in words is "two hundred twenty-six million, six hundred nine thousand, nine hundred twenty".