Search a number
-
+
14223530000 = 24543474099
BaseRepresentation
bin11010011111100100…
…11101100000010000
31100201021002012002102
431033302131200100
5213112210430000
610311215335532
71012321003331
oct151762354020
940637065072
1014223530000
1160398a2679
12290b5215a8
131458a14254
1498d062288
15583a893d5
hex34fc9d810

14223530000 has 100 divisors (see below), whose sum is σ = 34544254800. Its totient is φ = 5671632000.

The previous prime is 14223529993. The next prime is 14223530033. The reversal of 14223530000 is 3532241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3467951 + ... + 3472049.

It is an arithmetic number, because the mean of its divisors is an integer number (345442548).

Almost surely, 214223530000 is an apocalyptic number.

14223530000 is a gapful number since it is divisible by the number (10) 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 14223530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17272127400).

14223530000 is an abundant number, since it is smaller than the sum of its proper divisors (20320724800).

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

14223530000 is an equidigital number, since it uses as much as digits as its factorization.

14223530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 14223530000 in words is "fourteen billion, two hundred twenty-three million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 347 400 500 625 694 1000 1250 1388 1735 2000 2500 2776 3470 4099 5000 5552 6940 8198 8675 10000 13880 16396 17350 20495 27760 32792 34700 40990 43375 65584 69400 81980 86750 102475 138800 163960 173500 204950 216875 327920 347000 409900 433750 512375 694000 819800 867500 1024750 1422353 1639600 1735000 2049500 2561875 2844706 3470000 4099000 5123750 5689412 7111765 8198000 10247500 11378824 14223530 20495000 22757648 28447060 35558825 40990000 56894120 71117650 113788240 142235300 177794125 284470600 355588250 568941200 711176500 888970625 1422353000 1777941250 2844706000 3555882500 7111765000 14223530000