229987200 has 96 divisors (see below), whose sum is σ = 757551960. Its totient is φ = 61327360.

The previous prime is 229987159. The next prime is 229987213. The reversal of 229987200 is 2789922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×229987200² = 105788224327680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2379 + ... + 21578.

Almost surely, 2^229987200 is an apocalyptic number.

229987200 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 229987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378775980).

229987200 is an abundant number, since it is smaller than the sum of its proper divisors (527564760).

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

229987200 is a wasteful number, since it uses less digits than its factorization.

229987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23984 (or 23967 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 229987200 is about 15165.3288787286. The cubic root of 229987200 is about 612.6812014209.

The spelling of 229987200 in words is "two hundred twenty-nine million, nine hundred eighty-seven thousand, two hundred".