218149200 has 150 divisors (see below), whose sum is σ = 783036254. Its totient is φ = 58164480.

The previous prime is 218149187. The next prime is 218149249. The reversal of 218149200 is 2941812.

It can be written as a sum of positive squares in 3 ways, for example, as 70963776 + 147185424 = 8424^2 + 12132^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 29034 + ... + 35766.

Almost surely, 2^218149200 is an apocalyptic number.

218149200 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 218149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391518127).

218149200 is an abundant number, since it is smaller than the sum of its proper divisors (564887054).

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

218149200 is a wasteful number, since it uses less digits than its factorization.

218149200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 218149200 is about 14769.8747455759. The cubic root of 218149200 is about 601.9834360773.

The spelling of 218149200 in words is "two hundred eighteen million, one hundred forty-nine thousand, two hundred".