Search a number
-
+
14234231220 = 223511187111527
BaseRepresentation
bin11010100000110110…
…10010000110110100
31100202000012212101220
431100123102012310
5213122430344340
610312240550340
71012510653246
oct152033220664
940660185356
1014234231220
116044941660
1229130223b0
13145acc0031
1499064a096
1558499eed0
hex3506d21b4

14234231220 has 96 divisors (see below), whose sum is σ = 43506118656. Its totient is φ = 3448579200.

The previous prime is 14234231203. The next prime is 14234231227. The reversal of 14234231220 is 2213243241.

It is a happy number.

It is a super-2 number, since 2×142342312202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14234231227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229097 + ... + 1240623.

It is an arithmetic number, because the mean of its divisors is an integer number (453188736).

Almost surely, 214234231220 is an apocalyptic number.

14234231220 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 14234231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21753059328).

14234231220 is an abundant number, since it is smaller than the sum of its proper divisors (29271887436).

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

14234231220 is a wasteful number, since it uses less digits than its factorization.

14234231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13421 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14234231220 its reverse (2213243241), we get a palindrome (16447474461).

The spelling of 14234231220 in words is "fourteen billion, two hundred thirty-four million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1871 3742 5613 7484 9355 11226 11527 18710 20581 22452 23054 28065 34581 37420 41162 46108 56130 57635 61743 69162 82324 102905 112260 115270 123486 126797 138324 172905 205810 230540 246972 253594 308715 345810 380391 411620 507188 617430 633985 691620 760782 1234860 1267970 1521564 1901955 2535940 3803910 7607820 21567017 43134034 64701051 86268068 107835085 129402102 215670170 237237187 258804204 323505255 431340340 474474374 647010510 711711561 948948748 1186185935 1294021020 1423423122 2372371870 2846846244 3558557805 4744743740 7117115610 14234231220