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114412200 = 23352727241
BaseRepresentation
bin1101101000111…
…00101010101000
321222021202000220
412310130222220
5213242142300
615204130040
72556326160
oct664345250
9258252026
10114412200
1159645641
1232396920
131a91b736
14112a35a0
15a09eda0
hex6d1caa8

114412200 has 96 divisors (see below), whose sum is σ = 405360960. Its totient is φ = 26150400.

The previous prime is 114412187. The next prime is 114412219. The reversal of 114412200 is 2214411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114412200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9421 + ... + 17820.

It is an arithmetic number, because the mean of its divisors is an integer number (4222510).

Almost surely, 2114412200 is an apocalyptic number.

114412200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114412200 is an abundant number, since it is smaller than the sum of its proper divisors (290948760).

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

114412200 is a wasteful number, since it uses less digits than its factorization.

114412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27267 (or 27258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114412200 is about 10696.3638681563. The cubic root of 114412200 is about 485.4644645433.

Adding to 114412200 its reverse (2214411), we get a palindrome (116626611).

The spelling of 114412200 in words is "one hundred fourteen million, four hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 27241 54482 81723 108964 136205 163446 190687 217928 272410 326892 381374 408615 544820 572061 653784 681025 762748 817230 953435 1089640 1144122 1362050 1525496 1634460 1906870 2043075 2288244 2724100 2860305 3268920 3813740 4086150 4576488 4767175 5448200 5720610 7627480 8172300 9534350 11441220 14301525 16344600 19068700 22882440 28603050 38137400 57206100 114412200