229977600 has 240 divisors, whose sum is σ = 780900912. Its totient is φ = 59637760.

The previous prime is 229977599. The next prime is 229977617. The reversal of 229977600 is 6779922.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035144 + ... + 2035256.

Almost surely, 2^229977600 is an apocalyptic number.

229977600 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 229977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390450456).

229977600 is an abundant number, since it is smaller than the sum of its proper divisors (550923312).

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

229977600 is a wasteful number, since it uses less digits than its factorization.

229977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 229977600 is about 15165.0123639910. The cubic root of 229977600 is about 612.6726765677.

The spelling of 229977600 in words is "two hundred twenty-nine million, nine hundred seventy-seven thousand, six hundred".