2231136000 has 432 divisors, whose sum is σ = 8224140288. Its totient is φ = 580608000.

The previous prime is 2231135993. The next prime is 2231136007. The reversal of 2231136000 is 6311322.

2231136000 is a `hidden beast` number, since 22 + 31 + 13 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2231135993) and next prime (2231136007).

It is a super-3 number, since 3×2231136000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231136007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17567937 + ... + 17568063.

Almost surely, 2^2231136000 is an apocalyptic number.

2231136000 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 2231136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112070144).

2231136000 is an abundant number, since it is smaller than the sum of its proper divisors (5993004288).

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

2231136000 is a wasteful number, since it uses less digits than its factorization.

2231136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2231136000 is about 47234.9023498514. The cubic root of 2231136000 is about 1306.6983656524.

Adding to 2231136000 its reverse (6311322), we get a palindrome (2237447322).

It can be divided in two parts, 22311 and 36000, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 2231136000 in words is "two billion, two hundred thirty-one million, one hundred thirty-six thousand".