29842200 has 144 divisors (see below), whose sum is σ = 102281400. Its totient is φ = 7795200.

The previous prime is 29842199. The next prime is 29842207. The reversal of 29842200 is 224892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29842207) 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, 106060 + ... + 106340.

Almost surely, 2^29842200 is an apocalyptic number.

29842200 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 29842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51140700).

29842200 is an abundant number, since it is smaller than the sum of its proper divisors (72439200).

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

29842200 is a wasteful number, since it uses less digits than its factorization.

29842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 29842200 is about 5462.8014790948. The cubic root of 29842200 is about 310.1774911430.

It can be divided in two parts, 2984 and 2200, that added together give a square (5184 = 72²).

The spelling of 29842200 in words is "twenty-nine million, eight hundred forty-two thousand, two hundred".