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2231531440 = 245294322369
BaseRepresentation
bin1000010100000010…
…0111011110110000
312202112000112122121
42011000213132300
514032233001230
61005233244024
7106204463365
oct20500473660
95675015577
102231531440
11a45706666
12523403614
13297421708
1417252846c
15d0d9977a
hex850277b0

2231531440 has 80 divisors (see below), whose sum is σ = 5492282400. Its totient is φ = 841752576.

The previous prime is 2231531371. The next prime is 2231531441. The reversal of 2231531440 is 441351322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22315314403 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231531441) 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 15 ways as a sum of consecutive naturals, for example, 88576 + ... + 110944.

It is an arithmetic number, because the mean of its divisors is an integer number (68653530).

Almost surely, 22231531440 is an apocalyptic number.

2231531440 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 2231531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746141200).

2231531440 is an abundant number, since it is smaller than the sum of its proper divisors (3260750960).

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

2231531440 is a wasteful number, since it uses less digits than its factorization.

2231531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22454 (or 22448 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2231531440 is about 47239.0880521629. The cubic root of 2231531440 is about 1306.7755595538.

Adding to 2231531440 its reverse (441351322), we get a palindrome (2672882762).

The spelling of 2231531440 in words is "two billion, two hundred thirty-one million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 290 344 430 464 580 688 860 1160 1247 1720 2320 2494 3440 4988 6235 9976 12470 19952 22369 24940 44738 49880 89476 99760 111845 178952 223690 357904 447380 648701 894760 961867 1297402 1789520 1923734 2594804 3243505 3847468 4809335 5189608 6487010 7694936 9618670 10379216 12974020 15389872 19237340 25948040 27894143 38474680 51896080 55788286 76949360 111576572 139470715 223153144 278941430 446306288 557882860 1115765720 2231531440