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1214245800 = 233252798539
BaseRepresentation
bin100100001011111…
…1110101110101000
310010121211002002200
41020113332232220
54441321331200
6320253300200
742042630135
oct11027765650
93117732080
101214245800
11573456929
1229a794660
13164741751
14b739b58c
1571901800
hex485feba8

1214245800 has 144 divisors (see below), whose sum is σ = 4129944000. Its totient is φ = 319662720.

The previous prime is 1214245793. The next prime is 1214245819. The reversal of 1214245800 is 85424121.

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 35 ways as a sum of consecutive naturals, for example, 137931 + ... + 146469.

Almost surely, 21214245800 is an apocalyptic number.

1214245800 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 1214245800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064972000).

1214245800 is an abundant number, since it is smaller than the sum of its proper divisors (2915698200).

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

1214245800 is a wasteful number, since it uses less digits than its factorization.

1214245800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8640 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1214245800 is about 34846.0299029889. The cubic root of 1214245800 is about 1066.8471547882.

Adding to 1214245800 its reverse (85424121), we get a palindrome (1299669921).

The spelling of 1214245800 in words is "one billion, two hundred fourteen million, two hundred forty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 79 90 100 120 150 158 180 200 225 237 300 316 360 395 450 474 600 632 711 790 900 948 1185 1422 1580 1800 1896 1975 2370 2844 3160 3555 3950 4740 5688 5925 7110 7900 8539 9480 11850 14220 15800 17078 17775 23700 25617 28440 34156 35550 42695 47400 51234 68312 71100 76851 85390 102468 128085 142200 153702 170780 204936 213475 256170 307404 341560 384255 426950 512340 614808 640425 674581 768510 853900 1024680 1280850 1349162 1537020 1707800 1921275 2023743 2561700 2698324 3074040 3372905 3842550 4047486 5123400 5396648 6071229 6745810 7685100 8094972 10118715 12142458 13491620 15370200 16189944 16864525 20237430 24284916 26983240 30356145 33729050 40474860 48569832 50593575 60712290 67458100 80949720 101187150 121424580 134916200 151780725 202374300 242849160 303561450 404748600 607122900 1214245800