214220100 has 72 divisors (see below), whose sum is σ = 641208960. Its totient is φ = 55153280.

The previous prime is 214220093. The next prime is 214220101. The reversal of 214220100 is 1022412.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (214220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3612 + ... + 21011.

It is an arithmetic number, because the mean of its divisors is an integer number (8905680).

Almost surely, 2^214220100 is an apocalyptic number.

214220100 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 214220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320604480).

214220100 is an abundant number, since it is smaller than the sum of its proper divisors (426988860).

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

214220100 is a wasteful number, since it uses less digits than its factorization.

214220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24669 (or 24662 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 214220100 is about 14636.2597681238. The cubic root of 214220100 is about 598.3473967946.

Adding to 214220100 its reverse (1022412), we get a palindrome (215242512).

The spelling of 214220100 in words is "two hundred fourteen million, two hundred twenty thousand, one hundred".