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14252234000 = 245315234679
BaseRepresentation
bin11010100010111111…
…11101010100010000
31100210021002111120112
431101133331110100
5213142032442000
610314122500452
71013116663424
oct152137752420
940707074515
1014252234000
116054018394
122919064728
131461954374
14992bb4b84
15586359235
hex3517fd510

14252234000 has 80 divisors (see below), whose sum is σ = 34491899520. Its totient is φ = 5695932800.

The previous prime is 14252233999. The next prime is 14252234011. The reversal of 14252234000 is 43225241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 3043661 + ... + 3048339.

It is an arithmetic number, because the mean of its divisors is an integer number (431148744).

Almost surely, 214252234000 is an apocalyptic number.

14252234000 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 14252234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245949760).

14252234000 is an abundant number, since it is smaller than the sum of its proper divisors (20239665520).

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

14252234000 is a wasteful number, since it uses less digits than its factorization.

14252234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 14252234000 its reverse (43225241), we get a palindrome (14295459241).

The spelling of 14252234000 in words is "fourteen billion, two hundred fifty-two million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1523 2000 3046 4679 6092 7615 9358 12184 15230 18716 23395 24368 30460 37432 38075 46790 60920 74864 76150 93580 116975 121840 152300 187160 190375 233950 304600 374320 380750 467900 584875 609200 761500 935800 1169750 1523000 1871600 2339500 3046000 4679000 7126117 9358000 14252234 28504468 35630585 57008936 71261170 114017872 142522340 178152925 285044680 356305850 570089360 712611700 890764625 1425223400 1781529250 2850446800 3563058500 7126117000 14252234000