29214000 has 160 divisors (see below), whose sum is σ = 104844480. Its totient is φ = 7776000.

The previous prime is 29213981. The next prime is 29214013. The reversal of 29214000 is 41292.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 53730 + ... + 54270.

It is an arithmetic number, because the mean of its divisors is an integer number (655278).

Almost surely, 2^29214000 is an apocalyptic number.

29214000 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 29214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52422240).

29214000 is an abundant number, since it is smaller than the sum of its proper divisors (75630480).

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

29214000 is a wasteful number, since it uses less digits than its factorization.

29214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 29214000 is about 5404.9976873261. The cubic root of 29214000 is about 307.9855505674.

Adding to 29214000 its reverse (41292), we get a palindrome (29255292).

The spelling of 29214000 in words is "twenty-nine million, two hundred fourteen thousand".