Search a number
-
+
14222203000 = 2353194118257
BaseRepresentation
bin11010011111011010…
…11001100001111000
31100201011120202210021
431033231121201320
5213111340444000
610311131100224
71012303505455
oct151755314170
940634522707
1014222203000
116039076685
12290aba1674
13145866b245
1498cbd882c
155838c611a
hex34fb59878

14222203000 has 128 divisors (see below), whose sum is σ = 35887924800. Its totient is φ = 5257728000.

The previous prime is 14222202949. The next prime is 14222203013. The reversal of 14222203000 is 30222241.

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 31 ways as a sum of consecutive naturals, for example, 769872 + ... + 788128.

Almost surely, 214222203000 is an apocalyptic number.

14222203000 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 14222203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943962400).

14222203000 is an abundant number, since it is smaller than the sum of its proper divisors (21665721800).

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

14222203000 is a wasteful number, since it uses less digits than its factorization.

14222203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18338 (or 18324 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 14222203000 its reverse (30222241), we get a palindrome (14252425241).

The spelling of 14222203000 in words is "fourteen billion, two hundred twenty-two million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 41 50 76 82 95 100 125 152 164 190 200 205 250 328 380 410 475 500 760 779 820 950 1000 1025 1558 1640 1900 2050 2375 3116 3800 3895 4100 4750 5125 6232 7790 8200 9500 10250 15580 18257 19000 19475 20500 31160 36514 38950 41000 73028 77900 91285 97375 146056 155800 182570 194750 346883 365140 389500 456425 693766 730280 748537 779000 912850 1387532 1497074 1734415 1825700 2282125 2775064 2994148 3468830 3651400 3742685 4564250 5988296 6937660 7485370 8672075 9128500 13875320 14222203 14970740 17344150 18257000 18713425 28444406 29941480 34688300 37426850 43360375 56888812 69376600 71111015 74853700 86720750 93567125 113777624 142222030 149707400 173441500 187134250 284444060 346883000 355555075 374268500 568888120 711110150 748537000 1422220300 1777775375 2844440600 3555550750 7111101500 14222203000