226427520 has 256 divisors, whose sum is σ = 803727360. Its totient is φ = 53760000.

The previous prime is 226427507. The next prime is 226427527. The reversal of 226427520 is 25724622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (226427527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499445 + ... + 1499595.

It is an arithmetic number, because the mean of its divisors is an integer number (3139560).

Almost surely, 2^226427520 is an apocalyptic number.

226427520 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 226427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401863680).

226427520 is an abundant number, since it is smaller than the sum of its proper divisors (577299840).

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

226427520 is a wasteful number, since it uses less digits than its factorization.

226427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 226427520 is about 15047.5087639117. The cubic root of 226427520 is about 609.5037799098.

The spelling of 226427520 in words is "two hundred twenty-six million, four hundred twenty-seven thousand, five hundred twenty".