Search a number
-
+
14224202400 = 253525926751
BaseRepresentation
bin11010011111101010…
…00001101010100000
31100201022100100110010
431033311001222200
5213112343434100
610311242004520
71012326503562
oct151765015240
940638310403
1014224202400
11603a211881
12290b7a6740
131458bbb315
1498d199332
15583b6d750
hex34fd41aa0

14224202400 has 72 divisors (see below), whose sum is σ = 46299786624. Its totient is φ = 3793120000.

The previous prime is 14224202371. The next prime is 14224202401. The reversal of 14224202400 is 420242241.

It is not an unprimeable number, because it can be changed into a prime (14224202401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2960976 + ... + 2965775.

It is an arithmetic number, because the mean of its divisors is an integer number (643052592).

Almost surely, 214224202400 is an apocalyptic number.

14224202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224202400 is an abundant number, since it is smaller than the sum of its proper divisors (32075584224).

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

14224202400 is a wasteful number, since it uses less digits than its factorization.

14224202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926774 (or 5926761 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 14224202400 its reverse (420242241), we get a palindrome (14644444641).

The spelling of 14224202400 in words is "fourteen billion, two hundred twenty-four million, two hundred two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5926751 11853502 17780253 23707004 29633755 35560506 47414008 59267510 71121012 88901265 94828016 118535020 142242024 148168775 177802530 189656032 237070040 284484048 296337550 355605060 444506325 474140080 568968096 592675100 711210120 889012650 948280160 1185350200 1422420240 1778025300 2370700400 2844840480 3556050600 4741400800 7112101200 14224202400