2231127200 has 72 divisors (see below), whose sum is σ = 5486766012. Its totient is φ = 885893120.

The previous prime is 2231127179. The next prime is 2231127221. The reversal of 2231127200 is 27211322.

It is an interprime number because it is at equal distance from previous prime (2231127179) and next prime (2231127221).

It can be written as a sum of positive squares in 6 ways, for example, as 991242256 + 1239884944 = 31484^2 + 35212^2 .

It is a super-3 number, since 3×2231127200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 99422 + ... + 119778.

Almost surely, 2^2231127200 is an apocalyptic number.

2231127200 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 2231127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743383006).

2231127200 is an abundant number, since it is smaller than the sum of its proper divisors (3255638812).

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

2231127200 is a wasteful number, since it uses less digits than its factorization.

2231127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20514 (or 20501 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2231127200 is about 47234.8091983021. The cubic root of 2231127200 is about 1306.6966476993.

Adding to 2231127200 its reverse (27211322), we get a palindrome (2258338522).

It can be divided in two parts, 223112 and 7200, that multiplied together give a square (1606406400 = 40080²).

The spelling of 2231127200 in words is "two billion, two hundred thirty-one million, one hundred twenty-seven thousand, two hundred".