229461120 has 384 divisors, whose sum is σ = 948844800. Its totient is φ = 52254720.

The previous prime is 229461107. The next prime is 229461139. The reversal of 229461120 is 21164922.

229461120 is a `hidden beast` number, since 2 + 29 + 4 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846585 + ... + 846855.

It is an arithmetic number, because the mean of its divisors is an integer number (2470950).

Almost surely, 2^229461120 is an apocalyptic number.

229461120 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 229461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474422400).

229461120 is an abundant number, since it is smaller than the sum of its proper divisors (719383680).

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

229461120 is a wasteful number, since it uses less digits than its factorization.

229461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

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

The square root of 229461120 is about 15147.9741219742. The cubic root of 229461120 is about 612.2136893153.

The spelling of 229461120 in words is "two hundred twenty-nine million, four hundred sixty-one thousand, one hundred twenty".