Search a number
-
+
114110244 = 22322923769
BaseRepresentation
bin1101100110100…
…10111100100100
321221201101211100
412303102330210
5213203011434
615153440100
72553630633
oct663227444
9257641740
10114110244
1159459796
1232270030
131a844171
141122551a
15a040699
hex6cd2f24

114110244 has 54 divisors (see below), whose sum is σ = 298813970. Its totient is φ = 36715392.

The previous prime is 114110237. The next prime is 114110251. The reversal of 114110244 is 442011411.

114110244 is a `hidden beast` number, since 11 + 411 + 0 + 244 = 666.

It is an interprime number because it is at equal distance from previous prime (114110237) and next prime (114110251).

It can be written as a sum of positive squares in 3 ways, for example, as 36000000 + 78110244 = 6000^2 + 8838^2 .

It is a super-2 number, since 2×1141102442 = 26042295571479072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28392 + ... + 32160.

Almost surely, 2114110244 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 114110244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149406985).

114110244 is an abundant number, since it is smaller than the sum of its proper divisors (184703726).

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

114110244 is a wasteful number, since it uses less digits than its factorization.

114110244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114110244 is about 10682.2396528069. The cubic root of 114110244 is about 485.0370099649.

Adding to 114110244 its reverse (442011411), we get a palindrome (556121655).

The spelling of 114110244 in words is "one hundred fourteen million, one hundred ten thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 3769 5046 7538 7569 10092 11307 15076 15138 22614 30276 33921 45228 67842 109301 135684 218602 327903 437204 655806 983709 1311612 1967418 3169729 3934836 6339458 9509187 12678916 19018374 28527561 38036748 57055122 114110244