29224080 has 120 divisors (see below), whose sum is σ = 100888632. Its totient is φ = 7575552.

The previous prime is 29224067. The next prime is 29224081. The reversal of 29224080 is 8042292.

It can be written as a sum of positive squares in 4 ways, for example, as 5253264 + 23970816 = 2292^2 + 4896^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (29224081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26092 + ... + 27188.

Almost surely, 2^29224080 is an apocalyptic number.

29224080 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 29224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50444316).

29224080 is an abundant number, since it is smaller than the sum of its proper divisors (71664552).

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

29224080 is a wasteful number, since it uses less digits than its factorization.

29224080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1144 counting only the distinct ones).

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

The square root of 29224080 is about 5405.9300772393. The cubic root of 29224080 is about 308.0209689440.

The spelling of 29224080 in words is "twenty-nine million, two hundred twenty-four thousand, eighty".