229555814400 has 1800 divisors, whose sum is σ = 1008837211536. Its totient is φ = 50960793600.

The previous prime is 229555814399. The next prime is 229555814407. The reversal of 229555814400 is 4418555922.

229555814400 is a `hidden beast` number, since 2 + 2 + 95 + 558 + 1 + 4 + 4 + 0 + 0 = 666.

229555814400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229555814407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6204211182 + ... + 6204211218.

Almost surely, 2^229555814400 is an apocalyptic number.

229555814400 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 229555814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504418605768).

229555814400 is an abundant number, since it is smaller than the sum of its proper divisors (779281397136).

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

229555814400 is a wasteful number, since it uses less digits than its factorization.

229555814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 229555814400 in words is "two hundred twenty-nine billion, five hundred fifty-five million, eight hundred fourteen thousand, four hundred".