Search a number
-
+
114236244 = 2235211557
BaseRepresentation
bin1101100111100…
…01101101010100
321221221210200000
412303301231110
5213221024434
615200251300
72554664163
oct663615524
9257853600
10114236244
1159535421
1232310b30
131a889615
14112593da
15a067b99
hex6cf1b54

114236244 has 72 divisors (see below), whose sum is σ = 301418208. Its totient is φ = 37830240.

The previous prime is 114236237. The next prime is 114236257. The reversal of 114236244 is 442632411.

It is a happy number.

114236244 is a `hidden beast` number, since 1 + 14 + 23 + 624 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204814 + ... + 205370.

It is an arithmetic number, because the mean of its divisors is an integer number (4186364).

Almost surely, 2114236244 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 114236244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150709104).

114236244 is an abundant number, since it is smaller than the sum of its proper divisors (187181964).

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

114236244 is a wasteful number, since it uses less digits than its factorization.

114236244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 773 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 114236244 is about 10688.1356653066. The cubic root of 114236244 is about 485.2154694988.

Adding to 114236244 its reverse (442632411), we get a palindrome (556868655).

The spelling of 114236244 in words is "one hundred fourteen million, two hundred thirty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 243 324 422 486 557 633 844 972 1114 1266 1671 1899 2228 2532 3342 3798 5013 5697 6684 7596 10026 11394 15039 17091 20052 22788 30078 34182 45117 51273 60156 68364 90234 102546 117527 135351 180468 205092 235054 270702 352581 470108 541404 705162 1057743 1410324 2115486 3173229 4230972 6346458 9519687 12692916 19039374 28559061 38078748 57118122 114236244