229821660450 has 270 divisors, whose sum is σ = 662553560097. Its totient is φ = 59308815600.

The previous prime is 229821660449. The next prime is 229821660463. The reversal of 229821660450 is 54066128922.

229821660450 is a `hidden beast` number, since 2 + 29 + 8 + 2 + 16 + 604 + 5 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225225227241 + 4596433209 = 474579^2 + 67797^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338985.

It is a super-2 number, since 2×229821660450² (a number of 24 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 229821660396 and 229821660405.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7413601935 + ... + 7413601965.

Almost surely, 2^229821660450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229821660450

229821660450 is an abundant number, since it is smaller than the sum of its proper divisors (432731899647).

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

229821660450 is an frugal number, since it uses more digits than its factorization.

229821660450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 229821660450 in words is "two hundred twenty-nine billion, eight hundred twenty-one million, six hundred sixty thousand, four hundred fifty".