2147200 has 96 divisors (see below), whose sum is σ = 5881320. Its totient is φ = 768000.

The previous prime is 2147177. The next prime is 2147213. The reversal of 2147200 is 27412.

It is a super-2 number, since 2×2147200² = 9220935680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35170 + ... + 35230.

2^2147200 is an apocalyptic number.

2147200 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 2147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940660).

2147200 is an abundant number, since it is smaller than the sum of its proper divisors (3734120).

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

2147200 is a wasteful number, since it uses less digits than its factorization.

2147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2147200 is about 1465.3327267211. The cubic root of 2147200 is about 129.0102349510.

The spelling of 2147200 in words is "two million, one hundred forty-seven thousand, two hundred".