248227200 has 576 divisors, whose sum is σ = 1041562800. Its totient is φ = 57507840.

The previous prime is 248227193. The next prime is 248227223. The reversal of 248227200 is 2722842.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14601592 + ... + 14601608.

Almost surely, 2^248227200 is an apocalyptic number.

248227200 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 248227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520781400).

248227200 is an abundant number, since it is smaller than the sum of its proper divisors (793335600).

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

248227200 is a wasteful number, since it uses less digits than its factorization.

248227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 248227200 is about 15755.2277038448. The cubic root of 248227200 is about 628.4679325862.

The spelling of 248227200 in words is "two hundred forty-eight million, two hundred twenty-seven thousand, two hundred".