229618368 has 224 divisors, whose sum is σ = 791992320. Its totient is φ = 63866880.

The previous prime is 229618357. The next prime is 229618369. The reversal of 229618368 is 863816922.

229618368 is a `hidden beast` number, since 2 + 29 + 618 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (229618369) 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, 495705 + ... + 496167.

It is an arithmetic number, because the mean of its divisors is an integer number (3535680).

Almost surely, 2^229618368 is an apocalyptic number.

229618368 is a gapful number since it is divisible by the number (28) 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 229618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395996160).

229618368 is an abundant number, since it is smaller than the sum of its proper divisors (562373952).

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

229618368 is a wasteful number, since it uses less digits than its factorization.

229618368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 229618368 is about 15153.1636300807. The cubic root of 229618368 is about 612.3535058787.

It can be divided in two parts, 22961 and 8368, that added together give a square (31329 = 177²).

The spelling of 229618368 in words is "two hundred twenty-nine million, six hundred eighteen thousand, three hundred sixty-eight".