229400640 has 224 divisors, whose sum is σ = 925128960. Its totient is φ = 52420608.

The previous prime is 229400627. The next prime is 229400653. The reversal of 229400640 is 46004922.

It is an interprime number because it is at equal distance from previous prime (229400627) and next prime (229400653).

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

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 31 ways as a sum of consecutive naturals, for example, 58584 + ... + 62376.

It is an arithmetic number, because the mean of its divisors is an integer number (4130040).

Almost surely, 2^229400640 is an apocalyptic number.

229400640 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 229400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462564480).

229400640 is an abundant number, since it is smaller than the sum of its proper divisors (695728320).

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

229400640 is a wasteful number, since it uses less digits than its factorization.

229400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 229400640 is about 15145.9776838605. The cubic root of 229400640 is about 612.1598967055.

The spelling of 229400640 in words is "two hundred twenty-nine million, four hundred thousand, six hundred forty".