83042226400 has 72 divisors (see below), whose sum is σ = 231687827280. Its totient is φ = 28471618560.

The previous prime is 83042226359. The next prime is 83042226431. The reversal of 83042226400 is 462224038.

It is a super-2 number, since 2×83042226400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7408885 + ... + 7420084.

It is an arithmetic number, because the mean of its divisors is an integer number (3217886490).

Almost surely, 2^83042226400 is an apocalyptic number.

83042226400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83042226400 is an abundant number, since it is smaller than the sum of its proper divisors (148645600880).

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

83042226400 is a wasteful number, since it uses less digits than its factorization.

83042226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14828996 (or 14828983 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 83042226400 in words is "eighty-three billion, forty-two million, two hundred twenty-six thousand, four hundred".