214000202320 has 40 divisors (see below), whose sum is σ = 498016104840. Its totient is φ = 85519971840.

The previous prime is 214000202303. The next prime is 214000202327. The reversal of 214000202320 is 23202000412.

It can be written as a sum of positive squares in 4 ways, for example, as 46486809664 + 167513392656 = 215608^2 + 409284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 214000202294 and 214000202303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214000202327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1165651 + ... + 1336690.

It is an arithmetic number, because the mean of its divisors is an integer number (12450402621).

Almost surely, 2^214000202320 is an apocalyptic number.

214000202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214000202320 is an abundant number, since it is smaller than the sum of its proper divisors (284015902520).

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

214000202320 is a wasteful number, since it uses less digits than its factorization.

214000202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503423 (or 2503417 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 214000202320 its reverse (23202000412), we get a palindrome (237202202732).

The spelling of 214000202320 in words is "two hundred fourteen billion, two hundred two thousand, three hundred twenty".