83022201600 has 432 divisors, whose sum is σ = 296105548032. Its totient is φ = 20364410880.

The previous prime is 83022201547. The next prime is 83022201601. The reversal of 83022201600 is 610222038.

It is a super-2 number, since 2×83022201600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (83022201601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121554859 + ... + 121555541.

Almost surely, 2^83022201600 is an apocalyptic number.

83022201600 is a gapful number since it is divisible by the number (80) 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 83022201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148052774016).

83022201600 is an abundant number, since it is smaller than the sum of its proper divisors (213083346432).

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

83022201600 is a wasteful number, since it uses less digits than its factorization.

83022201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 83022201600 its reverse (610222038), we get a palindrome (83632423638).

The spelling of 83022201600 in words is "eighty-three billion, twenty-two million, two hundred one thousand, six hundred".