214513002 has 128 divisors (see below), whose sum is σ = 556416000. Its totient is φ = 60575040.

The previous prime is 214512997. The next prime is 214513009. The reversal of 214513002 is 200315412.

214513002 is digitally balanced in base 2, 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 (18).

It is not an unprimeable number, because it can be changed into a prime (214513009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 936624 + ... + 936852.

It is an arithmetic number, because the mean of its divisors is an integer number (4347000).

Almost surely, 2^214513002 is an apocalyptic number.

214513002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214513002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208000).

214513002 is an abundant number, since it is smaller than the sum of its proper divisors (341902998).

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

214513002 is a wasteful number, since it uses less digits than its factorization.

214513002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214513002 is about 14646.2623901117. The cubic root of 214513002 is about 598.6199783338.

Adding to 214513002 its reverse (200315412), we get a palindrome (414828414).

The spelling of 214513002 in words is "two hundred fourteen million, five hundred thirteen thousand, two".