229372560 has 360 divisors, whose sum is σ = 878604480. Its totient is φ = 55427328.

The previous prime is 229372547. The next prime is 229372567. The reversal of 229372560 is 65273922.

229372560 is a `hidden beast` number, since 2 + 2 + 93 + 7 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×229372560² = 105223542561907200, which contains 22 as substring.

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 (229372567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9972709 + ... + 9972731.

It is an arithmetic number, because the mean of its divisors is an integer number (2440568).

Almost surely, 2^229372560 is an apocalyptic number.

229372560 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 229372560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439302240).

229372560 is an abundant number, since it is smaller than the sum of its proper divisors (649231920).

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

229372560 is an equidigital number, since it uses as much as digits as its factorization.

229372560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 229372560 is about 15145.0506767062. The cubic root of 229372560 is about 612.1349183513.

The spelling of 229372560 in words is "two hundred twenty-nine million, three hundred seventy-two thousand, five hundred sixty".