Search a number
-
+
114242244 = 223171035437
BaseRepresentation
bin1101100111100…
…11001011000100
321221222002220020
412303303023010
5213221222434
615200335140
72555020524
oct663631304
9257862806
10114242244
1159539986
12323144b0
131a88c27c
141125b684
15a069849
hex6cf32c4

114242244 has 48 divisors (see below), whose sum is σ = 285038208. Its totient is φ = 35486208.

The previous prime is 114242243. The next prime is 114242267. The reversal of 114242244 is 442242411.

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

It is not an unprimeable number, because it can be changed into a prime (114242243) 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, 18294 + ... + 23730.

It is an arithmetic number, because the mean of its divisors is an integer number (5938296).

Almost surely, 2114242244 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 114242244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142519104).

114242244 is an abundant number, since it is smaller than the sum of its proper divisors (170795964).

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

114242244 is a wasteful number, since it uses less digits than its factorization.

114242244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5562 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 114242244 is about 10688.4163466811. The cubic root of 114242244 is about 485.2239642980.

Adding to 114242244 its reverse (442242411), we get a palindrome (556484655).

The spelling of 114242244 in words is "one hundred fourteen million, two hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 309 412 618 1236 1751 3502 5253 5437 7004 10506 10874 16311 21012 21748 32622 65244 92429 184858 277287 369716 554574 560011 1109148 1120022 1680033 2240044 3360066 6720132 9520187 19040374 28560561 38080748 57121122 114242244