7214218200 has 288 divisors, whose sum is σ = 27952853760. Its totient is φ = 1633248000.

The previous prime is 7214218189. The next prime is 7214218201. The reversal of 7214218200 is 28124127.

It is a super-3 number, since 3×7214218200³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7214218201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1345525 + ... + 1350875.

It is an arithmetic number, because the mean of its divisors is an integer number (97058520).

Almost surely, 2^7214218200 is an apocalyptic number.

7214218200 is a gapful number since it is divisible by the number (70) 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 7214218200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976426880).

7214218200 is an abundant number, since it is smaller than the sum of its proper divisors (20738635560).

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

7214218200 is a wasteful number, since it uses less digits than its factorization.

7214218200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7214218200 is about 84936.5539682415. The cubic root of 7214218200 is about 1932.2490002231.

The spelling of 7214218200 in words is "seven billion, two hundred fourteen million, two hundred eighteen thousand, two hundred".