229267440 has 120 divisors (see below), whose sum is σ = 815291568. Its totient is φ = 57538560.

The previous prime is 229267421. The next prime is 229267459. The reversal of 229267440 is 44762922.

It is an interprime number because it is at equal distance from previous prime (229267421) and next prime (229267459).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×229267440³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229267395 and 229267404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2875 + ... + 21605.

Almost surely, 2^229267440 is an apocalyptic number.

229267440 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 229267440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407645784).

229267440 is an abundant number, since it is smaller than the sum of its proper divisors (586024128).

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

229267440 is a wasteful number, since it uses less digits than its factorization.

229267440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18767 (or 18758 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 229267440 is about 15141.5798383128. The cubic root of 229267440 is about 612.0413915360.

The spelling of 229267440 in words is "two hundred twenty-nine million, two hundred sixty-seven thousand, four hundred forty".