Search a number
-
+
14232200420 = 22517193795813
BaseRepresentation
bin11010100000100111…
…00010010011100100
31100201212101200200002
431100103202103210
5213121420403140
610312125240432
71012454464454
oct152023422344
940655350602
1014232200420
116043784909
122912403118
13145a75b889
1499027bd64
155846ed415
hex3504e24e4

14232200420 has 96 divisors (see below), whose sum is σ = 33404918400. Its totient is φ = 5061740544.

The previous prime is 14232200407. The next prime is 14232200441. The reversal of 14232200420 is 2400223241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14232200392 and 14232200401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2445434 + ... + 2451246.

It is an arithmetic number, because the mean of its divisors is an integer number (347967900).

Almost surely, 214232200420 is an apocalyptic number.

14232200420 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 14232200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16702459200).

14232200420 is an abundant number, since it is smaller than the sum of its proper divisors (19172717980).

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

14232200420 is a wasteful number, since it uses less digits than its factorization.

14232200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6237 (or 6235 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14232200420 its reverse (2400223241), we get a palindrome (16632423661).

The spelling of 14232200420 in words is "fourteen billion, two hundred thirty-two million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 379 380 646 758 1292 1516 1615 1895 3230 3790 5813 6443 6460 7201 7580 11626 12886 14402 23252 25772 28804 29065 32215 36005 58130 64430 72010 98821 110447 116260 122417 128860 144020 197642 220894 244834 395284 441788 489668 494105 552235 612085 988210 1104470 1224170 1877599 1976420 2203127 2208940 2448340 3755198 4406254 7510396 8812508 9387995 11015635 18775990 22031270 37453159 37551980 41859413 44062540 74906318 83718826 149812636 167437652 187265795 209297065 374531590 418594130 711610021 749063180 837188260 1423220042 2846440084 3558050105 7116100210 14232200420