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200114200 = 235211136997
BaseRepresentation
bin10111110110110…
…00000000011000
3111221112212002001
423323120000120
5402212123300
631505050344
74646641216
oct1373300030
9457485061
10200114200
11a2a60840
12570269b4
13325c7290
141c811cb6
151287d16a
hexbed8018

200114200 has 96 divisors (see below), whose sum is σ = 546683760. Its totient is φ = 67161600.

The previous prime is 200114197. The next prime is 200114209. The reversal of 200114200 is 2411002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200114209) 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, 25102 + ... + 32098.

Almost surely, 2200114200 is an apocalyptic number.

200114200 is a gapful number since it is divisible by the number (20) 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 200114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273341880).

200114200 is an abundant number, since it is smaller than the sum of its proper divisors (346569560).

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

200114200 is a wasteful number, since it uses less digits than its factorization.

200114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 200114200 is about 14146.1726272515. The cubic root of 200114200 is about 584.9148340723.

Adding to 200114200 its reverse (2411002), we get a palindrome (202525202).

The spelling of 200114200 in words is "two hundred million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 715 1100 1144 1300 1430 2200 2600 2860 3575 5720 6997 7150 13994 14300 27988 28600 34985 55976 69970 76967 90961 139940 153934 174925 181922 279880 307868 349850 363844 384835 454805 615736 699700 727688 769670 909610 1000571 1399400 1539340 1819220 1924175 2001142 2274025 3078680 3638440 3848350 4002284 4548050 5002855 7696700 8004568 9096100 10005710 15393400 18192200 20011420 25014275 40022840 50028550 100057100 200114200