29220049800 has 144 divisors (see below), whose sum is σ = 98225277540. Its totient is φ = 7784501760.

The previous prime is 29220049753. The next prime is 29220049801. The reversal of 29220049800 is 894002292.

It can be written as a sum of positive squares in 6 ways, for example, as 4298375844 + 24921673956 = 65562^2 + 157866^2 .

It is a super-2 number, since 2×29220049800² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29220049801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2003334 + ... + 2017866.

Almost surely, 2^29220049800 is an apocalyptic number.

29220049800 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 29220049800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49112638770).

29220049800 is an abundant number, since it is smaller than the sum of its proper divisors (69005227740).

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

29220049800 is a wasteful number, since it uses less digits than its factorization.

29220049800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15672 (or 15660 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 29220049800 in words is "twenty-nine billion, two hundred twenty million, forty-nine thousand, eight hundred".