226261600 has 36 divisors (see below), whose sum is σ = 552363084. Its totient is φ = 90504320.

The previous prime is 226261597. The next prime is 226261601. The reversal of 226261600 is 6162622.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226261601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140614 + ... + 142213.

It is an arithmetic number, because the mean of its divisors is an integer number (15343419).

Almost surely, 2^226261600 is an apocalyptic number.

226261600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226261600 is an abundant number, since it is smaller than the sum of its proper divisors (326101484).

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

226261600 is a wasteful number, since it uses less digits than its factorization.

226261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282847 (or 282834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 226261600 is about 15041.9945485963. The cubic root of 226261600 is about 609.3548675356.

The spelling of 226261600 in words is "two hundred twenty-six million, two hundred sixty-one thousand, six hundred".