226201600 has 117 divisors (see below), whose sum is σ = 573099697. Its totient is φ = 88555520.

The previous prime is 226201589. The next prime is 226201627. The reversal of 226201600 is 6102622.

The square root of 226201600 is 15040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81432576 + 144769024 = 9024^2 + 12032^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 4812777 + ... + 4812823.

Almost surely, 2^226201600 is an apocalyptic number.

226201600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

226201600 is the 15040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226201600

226201600 is an abundant number, since it is smaller than the sum of its proper divisors (346898097).

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

226201600 is an frugal number, since it uses more digits than its factorization.

226201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 226201600 is about 609.3009999117.

It can be divided in two parts, 226201 and 600, that added together give a triangular number (226801 = T₆₇₃).

The spelling of 226201600 in words is "two hundred twenty-six million, two hundred one thousand, six hundred".