Search a number
-
+
114400244 = 22729891583
BaseRepresentation
bin1101101000110…
…01101111110100
321222021010122002
412310121233310
5213241301434
615203554432
72556246260
oct664315764
9258233562
10114400244
1159637662
123238ba18
131a91616a
141129d0a0
15a09b57e
hex6d19bf4

114400244 has 48 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 46776576.

The previous prime is 114400217. The next prime is 114400249. The reversal of 114400244 is 442004411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114400249) 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, 71477 + ... + 73059.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2114400244 is an apocalyptic number.

114400244 is a gapful number since it is divisible by the number (14) 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 114400244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

114400244 is an abundant number, since it is smaller than the sum of its proper divisors (125100556).

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

114400244 is a wasteful number, since it uses less digits than its factorization.

114400244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 114400244 is about 10695.8049720439. The cubic root of 114400244 is about 485.4475537146.

Adding to 114400244 its reverse (442004411), we get a palindrome (556404655).

The spelling of 114400244 in words is "one hundred fourteen million, four hundred thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 89 116 178 203 356 406 623 812 1246 1583 2492 2581 3166 5162 6332 10324 11081 18067 22162 36134 44324 45907 72268 91814 140887 183628 281774 321349 563548 642698 986209 1285396 1972418 3944836 4085723 8171446 16342892 28600061 57200122 114400244