226146360 has 256 divisors, whose sum is σ = 796262400. Its totient is φ = 50803200.

The previous prime is 226146313. The next prime is 226146367. The reversal of 226146360 is 63641622.

It is a super-2 number, since 2×226146360² = 102284352282499200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226146367) 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, 1780617 + ... + 1780743.

It is an arithmetic number, because the mean of its divisors is an integer number (3110400).

Almost surely, 2^226146360 is an apocalyptic number.

226146360 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 226146360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398131200).

226146360 is an abundant number, since it is smaller than the sum of its proper divisors (570116040).

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

226146360 is a wasteful number, since it uses less digits than its factorization.

226146360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 226146360 is about 15038.1634516985. The cubic root of 226146360 is about 609.2513973634.

Adding to 226146360 its reverse (63641622), we get a palindrome (289787982).

The spelling of 226146360 in words is "two hundred twenty-six million, one hundred forty-six thousand, three hundred sixty".