226515300 has 144 divisors (see below), whose sum is σ = 724453632. Its totient is φ = 54185600.

The previous prime is 226515299. The next prime is 226515307. The reversal of 226515300 is 3515622.

It is a super-2 number, since 2×226515300² = 102618362268180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226515307) 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 47 ways as a sum of consecutive naturals, for example, 273487 + ... + 274313.

It is an arithmetic number, because the mean of its divisors is an integer number (5030928).

Almost surely, 2^226515300 is an apocalyptic number.

226515300 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 226515300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362226816).

226515300 is an abundant number, since it is smaller than the sum of its proper divisors (497938332).

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

226515300 is a wasteful number, since it uses less digits than its factorization.

226515300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 226515300 is about 15050.4252431617. The cubic root of 226515300 is about 609.5825326007.

The spelling of 226515300 in words is "two hundred twenty-six million, five hundred fifteen thousand, three hundred".