226242000 has 120 divisors (see below), whose sum is σ = 790250760. Its totient is φ = 60326400.

The previous prime is 226241993. The next prime is 226242041. The reversal of 226242000 is 242622.

It is a happy number.

226242000 is a `hidden beast` number, since 22 + 624 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4112784 + 222129216 = 2028^2 + 14904^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11716 + ... + 24284.

It is an arithmetic number, because the mean of its divisors is an integer number (6585423).

Almost surely, 2^226242000 is an apocalyptic number.

226242000 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 226242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395125380).

226242000 is an abundant number, since it is smaller than the sum of its proper divisors (564008760).

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

226242000 is a wasteful number, since it uses less digits than its factorization.

226242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12598 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 226242000 is about 15041.3430251424. The cubic root of 226242000 is about 609.3372718259.

Adding to 226242000 its reverse (242622), we get a palindrome (226484622).

The spelling of 226242000 in words is "two hundred twenty-six million, two hundred forty-two thousand".