29414220 has 96 divisors (see below), whose sum is σ = 92123136. Its totient is φ = 6950400.

The previous prime is 29414213. The next prime is 29414221. The reversal of 29414220 is 2241492.

It is not an unprimeable number, because it can be changed into a prime (29414221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26517 + ... + 27603.

It is an arithmetic number, because the mean of its divisors is an integer number (959616).

Almost surely, 2^29414220 is an apocalyptic number.

29414220 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 29414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46061568).

29414220 is an abundant number, since it is smaller than the sum of its proper divisors (62708916).

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

29414220 is a wasteful number, since it uses less digits than its factorization.

29414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 29414220 is about 5423.4878076751. The cubic root of 29414220 is about 308.6875487668.

The spelling of 29414220 in words is "twenty-nine million, four hundred fourteen thousand, two hundred twenty".