Search a number
-
+
114232234220 = 225132101334619
BaseRepresentation
bin110101001100011000…
…1011001000011101100
3101220212001002202021122
41222120301121003230
53332421422443340
6124251053120112
711152531653506
oct1523061310354
9356761082248
10114232234220
114449a133345
121a180189038
13aa06280800
14575930ad76
152e88942db5
hex1a98c590ec

114232234220 has 72 divisors (see below), whose sum is σ = 262332710640. Its totient is φ = 41760326400.

The previous prime is 114232234219. The next prime is 114232234223. The reversal of 114232234220 is 22432232411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 114232234220.

It is not an unprimeable number, because it can be changed into a prime (114232234223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174071 + ... + 508689.

It is an arithmetic number, because the mean of its divisors is an integer number (3643509870).

Almost surely, 2114232234220 is an apocalyptic number.

114232234220 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 114232234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131166355320).

114232234220 is an abundant number, since it is smaller than the sum of its proper divisors (148100476420).

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

114232234220 is a wasteful number, since it uses less digits than its factorization.

114232234220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334755 (or 334740 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 114232234220 its reverse (22432232411), we get a palindrome (136664466631).

The spelling of 114232234220 in words is "one hundred fourteen billion, two hundred thirty-two million, two hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 169 202 260 338 404 505 676 845 1010 1313 1690 2020 2626 3380 5252 6565 13130 17069 26260 34138 68276 85345 170690 334619 341380 669238 1338476 1673095 3346190 4350047 6692380 8700094 17400188 21750235 33796519 43500470 56550611 67593038 87000940 113101222 135186076 168982595 226202444 282753055 337965190 439354747 565506110 675930380 878709494 1131012220 1757418988 2196773735 4393547470 5711611711 8787094940 11423223422 22846446844 28558058555 57116117110 114232234220