29813220 has 72 divisors (see below), whose sum is σ = 91498680. Its totient is φ = 7856640.

The previous prime is 29813219. The next prime is 29813239. The reversal of 29813220 is 2231892.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 28387584 = 1194^2 + 5328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15090 + ... + 16950.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815).

Almost surely, 2^29813220 is an apocalyptic number.

29813220 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 29813220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45749340).

29813220 is an abundant number, since it is smaller than the sum of its proper divisors (61685460).

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

29813220 is a wasteful number, since it uses less digits than its factorization.

29813220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 29813220 is about 5460.1483496330. The cubic root of 29813220 is about 310.0770533400.

The spelling of 29813220 in words is "twenty-nine million, eight hundred thirteen thousand, two hundred twenty".