200034016 has 96 divisors (see below), whose sum is σ = 491859648. Its totient is φ = 77967360.

The previous prime is 200034011. The next prime is 200034047. The reversal of 200034016 is 610430002.

200034016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200034011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212106 + ... + 213046.

It is an arithmetic number, because the mean of its divisors is an integer number (5123538).

Almost surely, 2^200034016 is an apocalyptic number.

200034016 is a gapful number since it is divisible by the number (26) 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 200034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245929824).

200034016 is an abundant number, since it is smaller than the sum of its proper divisors (291825632).

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

200034016 is a wasteful number, since it uses less digits than its factorization.

200034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 200034016 is about 14143.3382198122. The cubic root of 200034016 is about 584.8367002256.

Adding to 200034016 its reverse (610430002), we get a palindrome (810464018).

The spelling of 200034016 in words is "two hundred million, thirty-four thousand, sixteen".