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114311250 = 234541129
BaseRepresentation
bin1101101000001…
…00000001010010
321222002121120000
412310010001102
5213230430000
615202030430
72555425644
oct664040122
9258077500
10114311250
1159586809
1232348416
131a8b47c1
1411278894
15a080000
hex6d04052

114311250 has 100 divisors (see below), whose sum is σ = 320358390. Its totient is φ = 30456000.

The previous prime is 114311227. The next prime is 114311257. The reversal of 114311250 is 52113411.

It can be written as a sum of positive squares in 5 ways, for example, as 2099601 + 112211649 = 1449^2 + 10593^2 .

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

It is not an unprimeable number, because it can be changed into a prime (114311257) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 100686 + ... + 101814.

Almost surely, 2114311250 is an apocalyptic number.

114311250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114311250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160179195).

114311250 is an abundant number, since it is smaller than the sum of its proper divisors (206047140).

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

114311250 is an equidigital number, since it uses as much as digits as its factorization.

114311250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114311250 is about 10691.6439334650. The cubic root of 114311250 is about 485.3216416086.

Adding to 114311250 its reverse (52113411), we get a palindrome (166424661).

It can be divided in two parts, 114 and 311250, that added together give a square (311364 = 5582).

The spelling of 114311250 in words is "one hundred fourteen million, three hundred eleven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 250 270 375 405 450 625 675 750 810 1125 1129 1250 1350 1875 2025 2250 2258 3375 3387 3750 4050 5625 5645 6750 6774 10125 10161 11250 11290 16875 16935 20250 20322 28225 30483 33750 33870 50625 50805 56450 60966 84675 91449 101250 101610 141125 152415 169350 182898 254025 282250 304830 423375 457245 508050 705625 762075 846750 914490 1270125 1411250 1524150 2116875 2286225 2540250 3810375 4233750 4572450 6350625 7620750 11431125 12701250 19051875 22862250 38103750 57155625 114311250