226969200 has 180 divisors, whose sum is σ = 800251608. Its totient is φ = 59558400.

The previous prime is 226969181. The next prime is 226969207. The reversal of 226969200 is 2969622.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226969207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240730 + ... + 241670.

Almost surely, 2^226969200 is an apocalyptic number.

226969200 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 226969200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400125804).

226969200 is an abundant number, since it is smaller than the sum of its proper divisors (573282408).

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

226969200 is a wasteful number, since it uses less digits than its factorization.

226969200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 226969200 is about 15065.4970047456. The cubic root of 226969200 is about 609.9894291817.

The spelling of 226969200 in words is "two hundred twenty-six million, nine hundred sixty-nine thousand, two hundred".