226553940 has 72 divisors (see below), whose sum is σ = 690810120. Its totient is φ = 60098304.

The previous prime is 226553927. The next prime is 226553947. The reversal of 226553940 is 49355622.

226553940 is a `hidden beast` number, since 2 + 265 + 5 + 394 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16941456 + 209612484 = 4116^2 + 14478^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 226553895 and 226553904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226553947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32266 + ... + 38654.

It is an arithmetic number, because the mean of its divisors is an integer number (9594585).

Almost surely, 2^226553940 is an apocalyptic number.

226553940 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 226553940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345405060).

226553940 is an abundant number, since it is smaller than the sum of its proper divisors (464256180).

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

226553940 is a wasteful number, since it uses less digits than its factorization.

226553940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6596 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 226553940 is about 15051.7088730815. The cubic root of 226553940 is about 609.6171924078.

The spelling of 226553940 in words is "two hundred twenty-six million, five hundred fifty-three thousand, nine hundred forty".