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224130200 = 23527160093
BaseRepresentation
bin11010101101111…
…11010010011000
3120121201222211112
431112333102120
5424334131300
634123515452
75361034550
oct1526772230
9517658745
10224130200
11105574378
1263088b88
1337585628
1421aa4160
1514a23e35
hexd5bf498

224130200 has 48 divisors (see below), whose sum is σ = 595549680. Its totient is φ = 76844160.

The previous prime is 224130197. The next prime is 224130253. The reversal of 224130200 is 2031422.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78647 + ... + 81446.

It is an arithmetic number, because the mean of its divisors is an integer number (12407285).

Almost surely, 2224130200 is an apocalyptic number.

224130200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224130200 is an abundant number, since it is smaller than the sum of its proper divisors (371419480).

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

224130200 is a wasteful number, since it uses less digits than its factorization.

224130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160116 (or 160107 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 224130200 is about 14970.9785919291. The cubic root of 224130200 is about 607.4354394070.

Adding to 224130200 its reverse (2031422), we get a palindrome (226161622).

It can be divided in two parts, 2 and 24130200, that multiplied together give a triangular number (48260400 = T9824).

The spelling of 224130200 in words is "two hundred twenty-four million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 160093 320186 640372 800465 1120651 1280744 1600930 2241302 3201860 4002325 4482604 5603255 6403720 8004650 8965208 11206510 16009300 22413020 28016275 32018600 44826040 56032550 112065100 224130200