Search a number
-
+
114223235464 = 231337198714939
BaseRepresentation
bin110101001100000111…
…1000100000110001000
3101220211102011120022101
41222120033010012020
53332412122013324
6124250132203144
711152362324202
oct1523017040610
9356742146271
10114223235464
1144495047458
121a1791694b4
13aa0444c8c0
145758047772
152e87c66944
hex1a983c4188

114223235464 has 64 divisors (see below), whose sum is σ = 237011745600. Its totient is φ = 51264347904.

The previous prime is 114223235461. The next prime is 114223235479. The reversal of 114223235464 is 464532322411.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (114223235461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7638507 + ... + 7653445.

It is an arithmetic number, because the mean of its divisors is an integer number (3703308525).

Almost surely, 2114223235464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114223235464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118505872800).

114223235464 is an abundant number, since it is smaller than the sum of its proper divisors (122788510136).

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

114223235464 is a wasteful number, since it uses less digits than its factorization.

114223235464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16982 (or 16978 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

Adding to 114223235464 its reverse (464532322411), we get a palindrome (578755557875).

The spelling of 114223235464 in words is "one hundred fourteen billion, two hundred twenty-three million, two hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 1987 3848 3974 7948 14939 15896 25831 29878 51662 59756 73519 103324 119512 147038 194207 206648 294076 388414 552743 588152 776828 955747 1105486 1553656 1911494 2210972 3822988 4421944 7185659 7645976 14371318 28742636 29683793 57485272 59367586 118735172 237470344 385889309 771778618 1098300341 1543557236 2196600682 3087114472 4393201364 8786402728 14277904433 28555808866 57111617732 114223235464