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14215305200 = 2452293121291
BaseRepresentation
bin11010011110100110…
…00101011111110000
31100200200121022210012
431033103011133300
5213103104231300
610310323154052
71012161046325
oct151723053760
940620538705
1014215305200
116035195218
122908815928
1314570c46c5
1498bd20b4c
15582eb2435
hex34f4c57f0

14215305200 has 60 divisors (see below), whose sum is σ = 34269113928. Its totient is φ = 5666668800.

The previous prime is 14215305121. The next prime is 14215305253. The reversal of 14215305200 is 250351241.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 56555 + ... + 177845.

Almost surely, 214215305200 is an apocalyptic number.

14215305200 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 14215305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17134556964).

14215305200 is an abundant number, since it is smaller than the sum of its proper divisors (20053808728).

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

14215305200 is a wasteful number, since it uses less digits than its factorization.

14215305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121602 (or 121591 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 14215305200 its reverse (250351241), we get a palindrome (14465656441).

The spelling of 14215305200 in words is "fourteen billion, two hundred fifteen million, three hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 293 400 586 1172 1465 2344 2930 4688 5860 7325 11720 14650 23440 29300 58600 117200 121291 242582 485164 606455 970328 1212910 1940656 2425820 3032275 4851640 6064550 9703280 12129100 24258200 35538263 48516400 71076526 142153052 177691315 284306104 355382630 568612208 710765260 888456575 1421530520 1776913150 2843061040 3553826300 7107652600 14215305200