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285142200 = 23352767891
BaseRepresentation
bin10000111111101…
…110110010111000
3201212112201120020
4100333232302320
51040444022300
644143330440
710031445240
oct2077566270
9655481506
10285142200
11136a56612
127b5b0a20
13470c80c5
1429c26b20
151a0768a0
hex10feecb8

285142200 has 96 divisors (see below), whose sum is σ = 1010232960. Its totient is φ = 65174400.

The previous prime is 285142189. The next prime is 285142217. The reversal of 285142200 is 2241582.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29746 + ... + 38145.

It is an arithmetic number, because the mean of its divisors is an integer number (10523260).

Almost surely, 2285142200 is an apocalyptic number.

285142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285142200 is an abundant number, since it is smaller than the sum of its proper divisors (725090760).

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

285142200 is a wasteful number, since it uses less digits than its factorization.

285142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67917 (or 67908 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 285142200 is about 16886.1540914443. The cubic root of 285142200 is about 658.1938681585.

Adding to 285142200 its reverse (2241582), we get a palindrome (287383782).

The spelling of 285142200 in words is "two hundred eighty-five million, one hundred forty-two 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 67891 135782 203673 271564 339455 407346 475237 543128 678910 814692 950474 1018365 1357820 1425711 1629384 1697275 1900948 2036730 2376185 2715640 2851422 3394550 3801896 4073460 4752370 5091825 5702844 6789100 7128555 8146920 9504740 10183650 11405688 11880925 13578200 14257110 19009480 20367300 23761850 28514220 35642775 40734600 47523700 57028440 71285550 95047400 142571100 285142200