Search a number
-
+
220231112000 = 265353519413
BaseRepresentation
bin1100110100011011001…
…1000001010101000000
3210001110021200122210212
43031012303001111000
512102013131041000
6245101153013252
721624350364554
oct3150663012500
9701407618725
10220231112000
11854437a3079
1236822b54228
13179c9855273
14a932d67864
155ade642c35
hex3346cc1540

220231112000 has 112 divisors (see below), whose sum is σ = 555694029072. Its totient is φ = 86430156800.

The previous prime is 220231111979. The next prime is 220231112081. The reversal of 220231112000 is 211132022.

It is a happy number.

220231112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 37881615424 + 182349496576 = 194632^2 + 427024^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164294 + ... + 683706.

It is an arithmetic number, because the mean of its divisors is an integer number (4961553831).

Almost surely, 2220231112000 is an apocalyptic number.

220231112000 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 220231112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277847014536).

220231112000 is an abundant number, since it is smaller than the sum of its proper divisors (335462917072).

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

220231112000 is an equidigital number, since it uses as much as digits as its factorization.

220231112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519493 (or 519473 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 220231112000 its reverse (211132022), we get a palindrome (220442244022).

The spelling of 220231112000 in words is "two hundred twenty billion, two hundred thirty-one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 160 200 212 250 265 320 400 424 500 530 800 848 1000 1060 1325 1600 1696 2000 2120 2650 3392 4000 4240 5300 6625 8000 8480 10600 13250 16960 21200 26500 42400 53000 84800 106000 212000 424000 519413 1038826 2077652 2597065 4155304 5194130 8310608 10388260 12985325 16621216 20776520 25970650 27528889 33242432 41553040 51941300 55057778 64926625 83106080 103882600 110115556 129853250 137644445 166212160 207765200 220231112 259706500 275288890 415530400 440462224 519413000 550577780 688222225 831060800 880924448 1038826000 1101155560 1376444450 1761848896 2077652000 2202311120 2752888900 3441111125 4155304000 4404622240 5505777800 6882222250 8809244480 11011555600 13764444500 22023111200 27528889000 44046222400 55057778000 110115556000 220231112000