214221888 has 112 divisors (see below), whose sum is σ = 634715520. Its totient is φ = 70848000.

The previous prime is 214221883. The next prime is 214221899. The reversal of 214221888 is 888122412.

214221888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214221883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260518 + ... + 261338.

Almost surely, 2^214221888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214221888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317357760).

214221888 is an abundant number, since it is smaller than the sum of its proper divisors (420493632).

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

214221888 is a wasteful number, since it uses less digits than its factorization.

214221888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 977 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 214221888 is about 14636.3208491752. The cubic root of 214221888 is about 598.3490615033.

The spelling of 214221888 in words is "two hundred fourteen million, two hundred twenty-one thousand, eight hundred eighty-eight".