229454002800 has 480 divisors, whose sum is σ = 911670101760. Its totient is φ = 54330393600.

The previous prime is 229454002787. The next prime is 229454002801. The reversal of 229454002800 is 8200454922.

229454002800 is a `hidden beast` number, since 2 + 2 + 94 + 540 + 0 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229454002801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5085942 + ... + 5130858.

It is an arithmetic number, because the mean of its divisors is an integer number (1899312712).

Almost surely, 2^229454002800 is an apocalyptic number.

229454002800 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 229454002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455835050880).

229454002800 is an abundant number, since it is smaller than the sum of its proper divisors (682216098960).

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

229454002800 is a wasteful number, since it uses less digits than its factorization.

229454002800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44998 (or 44981 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 229454002800 in words is "two hundred twenty-nine billion, four hundred fifty-four million, two thousand, eight hundred".