226261728 has 384 divisors, whose sum is σ = 870912000. Its totient is φ = 55365120.

The previous prime is 226261727. The next prime is 226261729. The reversal of 226261728 is 827162622.

226261728 is a `hidden beast` number, since 2 + 2 + 626 + 1 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (226261727) and next prime (226261729).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 226261692 and 226261701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226261727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1263943 + ... + 1264121.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 2^226261728 is an apocalyptic number.

226261728 is a gapful number since it is divisible by the number (28) 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 226261728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

226261728 is an abundant number, since it is smaller than the sum of its proper divisors (644650272).

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

226261728 is a wasteful number, since it uses less digits than its factorization.

226261728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 226261728 is about 15041.9988033506. The cubic root of 226261728 is about 609.3549824430.

Adding to 226261728 its sum of digits (36), we get a square (226261764 = 15042²).

The spelling of 226261728 in words is "two hundred twenty-six million, two hundred sixty-one thousand, seven hundred twenty-eight".