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114210200 = 235213231109
BaseRepresentation
bin1101100111010…
…11010110011000
321221220110221102
412303223112120
5213214211300
615155530532
72554525226
oct663532630
9257813842
10114210200
11595178a5
12322b9a48
131a87a800
141124db16
15a0600d5
hex6ceb598

114210200 has 144 divisors (see below), whose sum is σ = 299534400. Its totient is φ = 40435200.

The previous prime is 114210127. The next prime is 114210247. The reversal of 114210200 is 2012411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1047746 + ... + 1047854.

It is an arithmetic number, because the mean of its divisors is an integer number (2080100).

Almost surely, 2114210200 is an apocalyptic number.

114210200 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 114210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149767200).

114210200 is an abundant number, since it is smaller than the sum of its proper divisors (185324200).

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

114210200 is a wasteful number, since it uses less digits than its factorization.

114210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 114210200 is about 10686.9172355736. The cubic root of 114210200 is about 485.1785929591.

Adding to 114210200 its reverse (2012411), we get a palindrome (116222611).

The spelling of 114210200 in words is "one hundred fourteen million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 109 124 130 155 169 200 218 248 260 310 325 338 403 436 520 545 620 650 676 775 806 845 872 1090 1240 1300 1352 1417 1550 1612 1690 2015 2180 2600 2725 2834 3100 3224 3379 3380 4030 4225 4360 5239 5450 5668 6200 6758 6760 7085 8060 8450 10075 10478 10900 11336 13516 14170 16120 16895 16900 18421 20150 20956 21800 26195 27032 28340 33790 33800 35425 36842 40300 41912 43927 52390 56680 67580 70850 73684 80600 84475 87854 92105 104780 130975 135160 141700 147368 168950 175708 184210 209560 219635 261950 283400 337900 351416 368420 439270 460525 523900 571051 675800 736840 878540 921050 1047800 1098175 1142102 1757080 1842100 2196350 2284204 2855255 3684200 4392700 4568408 5710510 8785400 11421020 14276275 22842040 28552550 57105100 114210200