226329600 has 264 divisors, whose sum is σ = 856923328. Its totient is φ = 51609600.

The previous prime is 226329599. The next prime is 226329643. The reversal of 226329600 is 6923622.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 537390 + ... + 537810.

Almost surely, 2^226329600 is an apocalyptic number.

226329600 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 226329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428461664).

226329600 is an abundant number, since it is smaller than the sum of its proper divisors (630593728).

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

226329600 is a wasteful number, since it uses less digits than its factorization.

226329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 226329600 is about 15044.2547173331. The cubic root of 226329600 is about 609.4159059983.

The spelling of 226329600 in words is "two hundred twenty-six million, three hundred twenty-nine thousand, six hundred".