229205121800 has 108 divisors (see below), whose sum is σ = 539999644005. Its totient is φ = 90476881920.

The previous prime is 229205121763. The next prime is 229205121881. The reversal of 229205121800 is 8121502922.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 585349636 + 228619772164 = 24194^2 + 478142^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338530.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 656748026 + ... + 656748374.

Almost surely, 2^229205121800 is an apocalyptic number.

229205121800 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 229205121800

229205121800 is an abundant number, since it is smaller than the sum of its proper divisors (310794522205).

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

229205121800 is an frugal number, since it uses more digits than its factorization.

229205121800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

Multiplying 229205121800 by its sum of digits (32), we get a square (7334563897600 = 2708240²).

The spelling of 229205121800 in words is "two hundred twenty-nine billion, two hundred five million, one hundred twenty-one thousand, eight hundred".