214002152 has 96 divisors (see below), whose sum is σ = 508435200. Its totient is φ = 82218240.

The previous prime is 214002121. The next prime is 214002157. The reversal of 214002152 is 251200412.

214002152 = T₂₂₈₈ + T₂₂₈₉ + ... + T₂₃₆₆.

It is a super-2 number, since 2×214002152² = 91593842121262208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214002152.

It is not an unprimeable number, because it can be changed into a prime (214002157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2708849 + ... + 2708927.

It is an arithmetic number, because the mean of its divisors is an integer number (5296200).

Almost surely, 2^214002152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214002152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254217600).

214002152 is an abundant number, since it is smaller than the sum of its proper divisors (294433048).

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

214002152 is a wasteful number, since it uses less digits than its factorization.

214002152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 214002152 is about 14628.8123919886. The cubic root of 214002152 is about 598.1444079536.

Adding to 214002152 its reverse (251200412), we get a palindrome (465202564).

The spelling of 214002152 in words is "two hundred fourteen million, two thousand, one hundred fifty-two".