214222014101700 has 216 divisors, whose sum is σ = 732981183139296. Its totient is φ = 51899165568000.

The previous prime is 214222014101687. The next prime is 214222014101701. The reversal of 214222014101700 is 7101410222412.

214222014101700 is a `hidden beast` number, since 2 + 1 + 42 + 2 + 201 + 410 + 1 + 7 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (214222014101701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8407995 + ... + 22341405.

Almost surely, 2^{214222014101700} is an apocalyptic number.

214222014101700 is a gapful number since it is divisible by the number (20) 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 214222014101700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366490591569648).

214222014101700 is an abundant number, since it is smaller than the sum of its proper divisors (518759169037596).

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

214222014101700 is a wasteful number, since it uses less digits than its factorization.

214222014101700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934995 (or 13934985 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 214222014101700 in words is "two hundred fourteen trillion, two hundred twenty-two billion, fourteen million, one hundred one thousand, seven hundred".