29144200 has 24 divisors (see below), whose sum is σ = 67760730. Its totient is φ = 11657600.

The previous prime is 29144191. The next prime is 29144209. The reversal of 29144200 is 244192.

It is an interprime number because it is at equal distance from previous prime (29144191) and next prime (29144209).

It can be written as a sum of positive squares in 3 ways, for example, as 23677956 + 5466244 = 4866^2 + 2338^2 .

It is not an unprimeable number, because it can be changed into a prime (29144209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72661 + ... + 73060.

Almost surely, 2^29144200 is an apocalyptic number.

29144200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29144200 is an abundant number, since it is smaller than the sum of its proper divisors (38616530).

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

29144200 is a wasteful number, since it uses less digits than its factorization.

29144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145737 (or 145728 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 29144200 is about 5398.5368388110. The cubic root of 29144200 is about 307.7400685476.

Adding to 29144200 its reverse (244192), we get a palindrome (29388392).

The spelling of 29144200 in words is "twenty-nine million, one hundred forty-four thousand, two hundred".