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232313320000 = 265411095237
BaseRepresentation
bin1101100001011011110…
…0111111001001000000
3211012122022111102100001
43120112330333021000
512301234202220000
6254420120405344
722532640432016
oct3302674771100
9735568442301
10232313320000
118a5838a3843
1239035316854
1318ba3a41178
14b35b8648b6
15609a20146a
hex3616f3f240

232313320000 has 140 divisors (see below), whose sum is σ = 576691071660. Its totient is φ = 92823808000.

The previous prime is 232313319991. The next prime is 232313320009. The reversal of 232313320000 is 23313232.

It is a happy number.

232313320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232313319991) and next prime (232313320009).

It can be written as a sum of positive squares in 10 ways, for example, as 201830953536 + 30482366464 = 449256^2 + 174592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 232313320000.

It is not an unprimeable number, because it can be changed into a prime (232313320009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44357382 + ... + 44362618.

Almost surely, 2232313320000 is an apocalyptic number.

232313320000 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 232313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288345535830).

232313320000 is an abundant number, since it is smaller than the sum of its proper divisors (344377751660).

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

232313320000 is an equidigital number, since it uses as much as digits as its factorization.

232313320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 232313320000 its reverse (23313232), we get a palindrome (232336633232).

The spelling of 232313320000 in words is "two hundred thirty-two billion, three hundred thirteen million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1109 1250 1600 2000 2218 2500 4000 4436 5000 5237 5545 8000 8872 10000 10474 11090 17744 20000 20948 22180 26185 27725 35488 40000 41896 44360 52370 55450 70976 83792 88720 104740 110900 130925 138625 167584 177440 209480 221800 261850 277250 335168 354880 418960 443600 523700 554500 654625 693125 837920 887200 1047400 1109000 1309250 1386250 1675840 1774400 2094800 2218000 2618500 2772500 3273125 4189600 4436000 5237000 5545000 5807833 6546250 8379200 8872000 10474000 11090000 11615666 13092500 20948000 22180000 23231332 26185000 29039165 41896000 44360000 46462664 52370000 58078330 92925328 104740000 116156660 145195825 185850656 209480000 232313320 290391650 371701312 464626640 580783300 725979125 929253280 1161566600 1451958250 1858506560 2323133200 2903916500 3629895625 4646266400 5807833000 7259791250 9292532800 11615666000 14519582500 23231332000 29039165000 46462664000 58078330000 116156660000 232313320000