229905343200 has 288 divisors, whose sum is σ = 808910226432. Its totient is φ = 56381184000.

The previous prime is 229905343181. The next prime is 229905343219. The reversal of 229905343200 is 2343509922.

It is an interprime number because it is at equal distance from previous prime (229905343181) and next prime (229905343219).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 8441605 + ... + 8468795.

It is an arithmetic number, because the mean of its divisors is an integer number (2808716064).

Almost surely, 2^229905343200 is an apocalyptic number.

229905343200 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 229905343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404455113216).

229905343200 is an abundant number, since it is smaller than the sum of its proper divisors (579004883232).

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

229905343200 is a wasteful number, since it uses less digits than its factorization.

229905343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27498 (or 27485 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 229905343200 in words is "two hundred twenty-nine billion, nine hundred five million, three hundred forty-three thousand, two hundred".