Search a number
-
+
3230114000 = 245319167509
BaseRepresentation
bin1100000010000111…
…1010000011010000
322100010000210101212
43000201322003100
523103402122000
61252304315252
7143021341661
oct30041720320
98303023355
103230114000
111408351503
12761912b28
133c6283679
14228dc7368
1513d89ac35
hexc087a0d0

3230114000 has 160 divisors (see below), whose sum is σ = 8286969600. Its totient is φ = 1214323200.

The previous prime is 3230113993. The next prime is 3230114011. The reversal of 3230114000 is 4110323.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6345746 + ... + 6346254.

It is an arithmetic number, because the mean of its divisors is an integer number (51793560).

Almost surely, 23230114000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143484800).

3230114000 is an abundant number, since it is smaller than the sum of its proper divisors (5056855600).

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

3230114000 is a wasteful number, since it uses less digits than its factorization.

3230114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3230114000 is about 56834.0918815459. The cubic root of 3230114000 is about 1478.2207129907.

Adding to 3230114000 its reverse (4110323), we get a palindrome (3234224323).

The spelling of 3230114000 in words is "three billion, two hundred thirty million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 167 190 200 250 304 334 380 400 475 500 509 668 760 835 950 1000 1018 1336 1520 1670 1900 2000 2036 2375 2545 2672 3173 3340 3800 4072 4175 4750 5090 6346 6680 7600 8144 8350 9500 9671 10180 12692 12725 13360 15865 16700 19000 19342 20360 20875 25384 25450 31730 33400 38000 38684 40720 41750 48355 50768 50900 63460 63625 66800 77368 79325 83500 85003 96710 101800 126920 127250 154736 158650 167000 170006 193420 203600 241775 253840 254500 317300 334000 340012 386840 396625 425015 483550 509000 634600 680024 773680 793250 850030 967100 1018000 1208875 1269200 1360048 1586500 1615057 1700060 1934200 2125075 2417750 3173000 3230114 3400120 3868400 4250150 4835500 6346000 6460228 6800240 8075285 8500300 9671000 10625375 12920456 16150570 17000600 19342000 21250750 25840912 32301140 34001200 40376425 42501500 64602280 80752850 85003000 129204560 161505700 170006000 201882125 323011400 403764250 646022800 807528500 1615057000 3230114000