206222067506400 has 144 divisors (see below), whose sum is σ = 732275814348288. Its totient is φ = 49993228480000.

The previous prime is 206222067506387. The next prime is 206222067506551. The reversal of 206222067506400 is 4605760222602.

It is a super-2 number, since 2×206222067506400² (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 3905694576 + ... + 3905747375.

It is an arithmetic number, because the mean of its divisors is an integer number (5085248710752).

Almost surely, 2^{206222067506400} is an apocalyptic number.

206222067506400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206222067506400 is an abundant number, since it is smaller than the sum of its proper divisors (526053746841888).

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

206222067506400 is a wasteful number, since it uses less digits than its factorization.

206222067506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7811441985 (or 7811441972 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 206222067506400 in words is "two hundred six trillion, two hundred twenty-two billion, sixty-seven million, five hundred six thousand, four hundred".