214804224 has 126 divisors (see below), whose sum is σ = 643418496. Its totient is φ = 71539200.

The previous prime is 214804217. The next prime is 214804243. The reversal of 214804224 is 422408412.

It is a super-2 number, since 2×214804224² = 92281709296484352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 186049 + ... + 187199.

It is an arithmetic number, because the mean of its divisors is an integer number (5106496).

Almost surely, 2^214804224 is an apocalyptic number.

214804224 is a gapful number since it is divisible by the number (24) 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 214804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321709248).

214804224 is an abundant number, since it is smaller than the sum of its proper divisors (428614272).

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

214804224 is an frugal number, since it uses more digits than its factorization.

214804224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 214804224 is about 14656.2008719859. The cubic root of 214804224 is about 598.8907505398.

The spelling of 214804224 in words is "two hundred fourteen million, eight hundred four thousand, two hundred twenty-four".