229355820 has 96 divisors (see below), whose sum is σ = 716184000. Its totient is φ = 60936192.

The previous prime is 229355813. The next prime is 229355827. The reversal of 229355820 is 28553922.

229355820 is a `hidden beast` number, since 229 + 355 + 82 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (229355813) and next prime (229355827).

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 (229355827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187852 + ... + 189068.

It is an arithmetic number, because the mean of its divisors is an integer number (7460250).

Almost surely, 2^229355820 is an apocalyptic number.

229355820 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 229355820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358092000).

229355820 is an abundant number, since it is smaller than the sum of its proper divisors (486828180).

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

229355820 is a wasteful number, since it uses less digits than its factorization.

229355820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 229355820 is about 15144.4980108289. The cubic root of 229355820 is about 612.1200264395.

The spelling of 229355820 in words is "two hundred twenty-nine million, three hundred fifty-five thousand, eight hundred twenty".