229523406840 has 1536 divisors, whose sum is σ = 1006077542400. Its totient is φ = 46088663040.

The previous prime is 229523406823. The next prime is 229523406863. The reversal of 229523406840 is 48604325922.

229523406840 is a `hidden beast` number, since 2 + 2 + 9 + 523 + 40 + 6 + 84 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1807270857 + ... + 1807270983.

It is an arithmetic number, because the mean of its divisors is an integer number (654998400).

Almost surely, 2^229523406840 is an apocalyptic number.

229523406840 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 229523406840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503038771200).

229523406840 is an abundant number, since it is smaller than the sum of its proper divisors (776554135560).

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

229523406840 is a wasteful number, since it uses less digits than its factorization.

229523406840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 229523406840 in words is "two hundred twenty-nine billion, five hundred twenty-three million, four hundred six thousand, eight hundred forty".