229006300800 has 384 divisors, whose sum is σ = 809004024000. Its totient is φ = 56760238080.

The previous prime is 229006300793. The next prime is 229006300829. The reversal of 229006300800 is 8003600922.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×229006300800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9655356 + ... + 9679044.

Almost surely, 2^229006300800 is an apocalyptic number.

229006300800 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 229006300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404502012000).

229006300800 is an abundant number, since it is smaller than the sum of its proper divisors (579997723200).

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

229006300800 is a wasteful number, since it uses less digits than its factorization.

229006300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23788 (or 23771 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 229006300800 in words is "two hundred twenty-nine billion, six million, three hundred thousand, eight hundred".