229971600 has 180 divisors, whose sum is σ = 805948416. Its totient is φ = 60721920.

The previous prime is 229971593. The next prime is 229971601. The reversal of 229971600 is 6179922.

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 not an unprimeable number, because it can be changed into a prime (229971601) 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, 456949 + ... + 457451.

Almost surely, 2^229971600 is an apocalyptic number.

229971600 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 229971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402974208).

229971600 is an abundant number, since it is smaller than the sum of its proper divisors (575976816).

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

229971600 is a wasteful number, since it uses less digits than its factorization.

229971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 229971600 is about 15164.8145389253. The cubic root of 229971600 is about 612.6673484139.

The spelling of 229971600 in words is "two hundred twenty-nine million, nine hundred seventy-one thousand, six hundred".