214102240 has 72 divisors (see below), whose sum is σ = 556030440. Its totient is φ = 77848320.

The previous prime is 214102237. The next prime is 214102243. The reversal of 214102240 is 42201412.

It is an interprime number because it is at equal distance from previous prime (214102237) and next prime (214102243).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214102243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13831 + ... + 24889.

It is an arithmetic number, because the mean of its divisors is an integer number (7722645).

Almost surely, 2^214102240 is an apocalyptic number.

214102240 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 214102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278015220).

214102240 is an abundant number, since it is smaller than the sum of its proper divisors (341928200).

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

214102240 is a wasteful number, since it uses less digits than its factorization.

214102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11096 (or 11077 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214102240 is about 14632.2329123070. The cubic root of 214102240 is about 598.2376433816.

Adding to 214102240 its reverse (42201412), we get a palindrome (256303652).

The spelling of 214102240 in words is "two hundred fourteen million, one hundred two thousand, two hundred forty".