229207440 has 320 divisors, whose sum is σ = 902799360. Its totient is φ = 46725120.

The previous prime is 229207423. The next prime is 229207471. The reversal of 229207440 is 44702922.

229207440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 229207398 and 229207407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1459842 + ... + 1459998.

It is an arithmetic number, because the mean of its divisors is an integer number (2821248).

Almost surely, 2^229207440 is an apocalyptic number.

229207440 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 229207440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451399680).

229207440 is an abundant number, since it is smaller than the sum of its proper divisors (673591920).

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

229207440 is a wasteful number, since it uses less digits than its factorization.

229207440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 229207440 is about 15139.5984094691. The cubic root of 229207440 is about 611.9879958344.

The spelling of 229207440 in words is "two hundred twenty-nine million, two hundred seven thousand, four hundred forty".