Search a number
-
+
114420200 = 23521773461
BaseRepresentation
bin1101101000111…
…10100111101000
321222022011000012
412310132213220
5213242421300
615204231052
72556361406
oct664364750
9258264005
10114420200
1159650654
123239b488
131a92227b
14112a6476
15a0a2435
hex6d1e9e8

114420200 has 96 divisors (see below), whose sum is σ = 286153560. Its totient is φ = 42393600.

The previous prime is 114420191. The next prime is 114420209. The reversal of 114420200 is 2024411.

It is an interprime number because it is at equal distance from previous prime (114420191) and next prime (114420209).

It can be written as a sum of positive squares in 12 ways, for example, as 12773476 + 101646724 = 3574^2 + 10082^2 .

It is not an unprimeable number, because it can be changed into a prime (114420209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247970 + ... + 248430.

Almost surely, 2114420200 is an apocalyptic number.

114420200 is a gapful number since it is divisible by the number (10) 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 114420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143076780).

114420200 is an abundant number, since it is smaller than the sum of its proper divisors (171733360).

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

114420200 is a wasteful number, since it uses less digits than its factorization.

114420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 114420200 is about 10696.7378204759. The cubic root of 114420200 is about 485.4757792609.

Adding to 114420200 its reverse (2024411), we get a palindrome (116444611).

The spelling of 114420200 in words is "one hundred fourteen million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 73 85 100 136 146 170 200 292 340 365 425 461 584 680 730 850 922 1241 1460 1700 1825 1844 2305 2482 2920 3400 3650 3688 4610 4964 6205 7300 7837 9220 9928 11525 12410 14600 15674 18440 23050 24820 31025 31348 33653 39185 46100 49640 62050 62696 67306 78370 92200 124100 134612 156740 168265 195925 248200 269224 313480 336530 391850 572101 673060 783700 841325 1144202 1346120 1567400 1682650 2288404 2860505 3365300 4576808 5721010 6730600 11442020 14302525 22884040 28605050 57210100 114420200