214023240 has 96 divisors (see below), whose sum is σ = 697689720. Its totient is φ = 56899584.

The previous prime is 214023233. The next prime is 214023253. The reversal of 214023240 is 42320412.

214023240 is a `hidden beast` number, since 21 + 402 + 3 + 240 = 666.

214023240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 189282564 + 24740676 = 13758^2 + 4974^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155194 + ... + 156566.

Almost surely, 2^214023240 is an apocalyptic number.

214023240 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 214023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348844860).

214023240 is an abundant number, since it is smaller than the sum of its proper divisors (483666480).

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

214023240 is a wasteful number, since it uses less digits than its factorization.

214023240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214023240 is about 14629.5331436106. The cubic root of 214023240 is about 598.1640545706.

Adding to 214023240 its reverse (42320412), we get a palindrome (256343652).

It can be divided in two parts, 21402 and 3240, that added together give a palindrome (24642).

The spelling of 214023240 in words is "two hundred fourteen million, twenty-three thousand, two hundred forty".