226359540 has 216 divisors, whose sum is σ = 795893280. Its totient is φ = 51891840.

The previous prime is 226359499. The next prime is 226359541. The reversal of 226359540 is 45953622.

226359540 is a `hidden beast` number, since 2 + 2 + 63 + 59 + 540 = 666.

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 = 226359495 and 226359504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226359541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413547 + ... + 414093.

Almost surely, 2^226359540 is an apocalyptic number.

226359540 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 226359540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397946640).

226359540 is an abundant number, since it is smaller than the sum of its proper divisors (569533740).

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

226359540 is a wasteful number, since it uses less digits than its factorization.

226359540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 587 counting only the distinct ones).

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

The square root of 226359540 is about 15045.2497486748. The cubic root of 226359540 is about 609.4427769978.

The spelling of 226359540 in words is "two hundred twenty-six million, three hundred fifty-nine thousand, five hundred forty".