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2231031040 = 28571797151
BaseRepresentation
bin1000010011111010…
…1101010100000000
312202111002010020021
42010332231110000
514032120443130
61005214423224
7106200310450
oct20476552400
95674063207
102231031040
11a453a4707
12523201b14
132972a7a14
14172437d60
15d0ceb37a
hex84fad500

2231031040 has 288 divisors, whose sum is σ = 6576643584. Its totient is φ = 707788800.

The previous prime is 2231031017. The next prime is 2231031043. The reversal of 2231031040 is 401301322.

It is a happy number.

It is a super-3 number, since 3×22310310403 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231031043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14774965 + ... + 14775115.

It is an arithmetic number, because the mean of its divisors is an integer number (22835568).

Almost surely, 22231031040 is an apocalyptic number.

2231031040 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 2231031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288321792).

2231031040 is an abundant number, since it is smaller than the sum of its proper divisors (4345612544).

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

2231031040 is a wasteful number, since it uses less digits than its factorization.

2231031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2231031040 is about 47233.7912939455. The cubic root of 2231031040 is about 1306.6778748634.

Adding to 2231031040 its reverse (401301322), we get a palindrome (2632332362).

The spelling of 2231031040 in words is "two billion, two hundred thirty-one million, thirty-one thousand, forty".