214311888 has 120 divisors (see below), whose sum is σ = 699608000. Its totient is φ = 61217856.

The previous prime is 214311883. The next prime is 214311917. The reversal of 214311888 is 888113412.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214311883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47223 + ... + 51561.

Almost surely, 2^214311888 is an apocalyptic number.

214311888 is a gapful number since it is divisible by the number (28) 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 214311888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349804000).

214311888 is an abundant number, since it is smaller than the sum of its proper divisors (485296112).

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

214311888 is a wasteful number, since it uses less digits than its factorization.

214311888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4351 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 214311888 is about 14639.3950694692. The cubic root of 214311888 is about 598.4328435985.

The spelling of 214311888 in words is "two hundred fourteen million, three hundred eleven thousand, eight hundred eighty-eight".