229663200 has 288 divisors, whose sum is σ = 854382816. Its totient is φ = 53084160.

The previous prime is 229663171. The next prime is 229663201. The reversal of 229663200 is 2366922.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229663201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530184 + ... + 530616.

It is an arithmetic number, because the mean of its divisors is an integer number (2966607).

Almost surely, 2^229663200 is an apocalyptic number.

229663200 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 229663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427191408).

229663200 is an abundant number, since it is smaller than the sum of its proper divisors (624719616).

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

229663200 is a wasteful number, since it uses less digits than its factorization.

229663200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

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

The square root of 229663200 is about 15154.6428529345. The cubic root of 229663200 is about 612.3933564158.

The spelling of 229663200 in words is "two hundred twenty-nine million, six hundred sixty-three thousand, two hundred".