Search a number
-
+
14222210240 = 265721130091
BaseRepresentation
bin11010011111011010…
…11011010011000000
31100201011121010201102
431033231123103000
5213111341211430
610311131153532
71012303535540
oct151755332300
940634533642
1014222210240
116039081067
12290aba58a8
131458671624
1498cbdb320
155838c8345
hex34fb5b4c0

14222210240 has 112 divisors (see below), whose sum is σ = 38889456384. Its totient is φ = 4852915200.

The previous prime is 14222210221. The next prime is 14222210269. The reversal of 14222210240 is 4201222241.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×142222102403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 457595 + ... + 487685.

Almost surely, 214222210240 is an apocalyptic number.

14222210240 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 14222210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19444728192).

14222210240 is an abundant number, since it is smaller than the sum of its proper divisors (24667246144).

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

14222210240 is a wasteful number, since it uses less digits than its factorization.

14222210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30326 (or 30316 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14222210240 its reverse (4201222241), we get a palindrome (18423432481).

The spelling of 14222210240 in words is "fourteen billion, two hundred twenty-two million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 211 224 280 320 422 448 560 844 1055 1120 1477 1688 2110 2240 2954 3376 4220 5908 6752 7385 8440 11816 13504 14770 16880 23632 29540 30091 33760 47264 59080 60182 67520 94528 118160 120364 150455 210637 236320 240728 300910 421274 472640 481456 601820 842548 962912 1053185 1203640 1685096 1925824 2106370 2407280 3370192 4212740 4814560 6349201 6740384 8425480 9629120 12698402 13480768 16850960 25396804 31746005 33701920 44444407 50793608 63492010 67403840 88888814 101587216 126984020 177777628 203174432 222222035 253968040 355555256 406348864 444444070 507936080 711110512 888888140 1015872160 1422221024 1777776280 2031744320 2844442048 3555552560 7111105120 14222210240