226987200 has 252 divisors, whose sum is σ = 880722648. Its totient is φ = 54988800.

The previous prime is 226987183. The next prime is 226987249. The reversal of 226987200 is 2789622.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157684 + ... + 159116.

Almost surely, 2^226987200 is an apocalyptic number.

226987200 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 226987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440361324).

226987200 is an abundant number, since it is smaller than the sum of its proper divisors (653735448).

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

226987200 is a wasteful number, since it uses less digits than its factorization.

226987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 226987200 is about 15066.0943844116. The cubic root of 226987200 is about 610.0055540120.

The spelling of 226987200 in words is "two hundred twenty-six million, nine hundred eighty-seven thousand, two hundred".