229618000 has 40 divisors (see below), whose sum is σ = 555221160. Its totient is φ = 91846400.

The previous prime is 229617977. The next prime is 229618009. The reversal of 229618000 is 816922.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 228372544 = 1116^2 + 15112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 229618000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229618009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55405 + ... + 59404.

It is an arithmetic number, because the mean of its divisors is an integer number (13880529).

Almost surely, 2^229618000 is an apocalyptic number.

229618000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229618000 is an abundant number, since it is smaller than the sum of its proper divisors (325603160).

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

229618000 is a wasteful number, since it uses less digits than its factorization.

229618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114832 (or 114816 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 229618000 is about 15153.1514873969. The cubic root of 229618000 is about 612.3531787472.

The spelling of 229618000 in words is "two hundred twenty-nine million, six hundred eighteen thousand".