229282202016 has 384 divisors, whose sum is σ = 799497216000. Its totient is φ = 62504386560.

The previous prime is 229282201991. The next prime is 229282202047. The reversal of 229282202016 is 610202282922.

229282202016 is a `hidden beast` number, since 229 + 2 + 8 + 220 + 201 + 6 = 666.

It is a super-2 number, since 2×229282202016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62455861 + ... + 62459531.

It is an arithmetic number, because the mean of its divisors is an integer number (2082024000).

Almost surely, 2^229282202016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229282202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399748608000).

229282202016 is an abundant number, since it is smaller than the sum of its proper divisors (570215013984).

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

229282202016 is a wasteful number, since it uses less digits than its factorization.

229282202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 229282202016 its reverse (610202282922), we get a palindrome (839484484938).

The spelling of 229282202016 in words is "two hundred twenty-nine billion, two hundred eighty-two million, two hundred two thousand, sixteen".