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1214444200 = 2352591011019
BaseRepresentation
bin100100001100010…
…1111001010101000
310010122012011020211
41020120233022220
54441344203300
6320301430504
742044414434
oct11030571250
93118164224
101214444200
115735819a2
1229a86b434
131647b0b48
14b740d9c4
15719404ba
hex4862f2a8

1214444200 has 96 divisors (see below), whose sum is σ = 2902716000. Its totient is φ = 472352000.

The previous prime is 1214444159. The next prime is 1214444213. The reversal of 1214444200 is 24444121.

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, 1191291 + ... + 1192309.

It is an arithmetic number, because the mean of its divisors is an integer number (30236625).

Almost surely, 21214444200 is an apocalyptic number.

1214444200 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 1214444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451358000).

1214444200 is an abundant number, since it is smaller than the sum of its proper divisors (1688271800).

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

1214444200 is a wasteful number, since it uses less digits than its factorization.

1214444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1214444200 is about 34848.8765959536. The cubic root of 1214444200 is about 1066.9052569584.

Adding to 1214444200 its reverse (24444121), we get a palindrome (1238888321).

The spelling of 1214444200 in words is "one billion, two hundred fourteen million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 101 118 200 202 236 295 404 472 505 590 808 1010 1019 1180 1475 2020 2038 2360 2525 2950 4040 4076 5050 5095 5900 5959 8152 10100 10190 11800 11918 20200 20380 23836 25475 29795 40760 47672 50950 59590 60121 101900 102919 119180 120242 148975 203800 205838 238360 240484 297950 300605 411676 480968 514595 595900 601210 823352 1029190 1191800 1202420 1503025 2058380 2404840 2572975 3006050 4116760 5145950 6012100 6072221 10291900 12024200 12144442 20583800 24288884 30361105 48577768 60722210 121444420 151805525 242888840 303611050 607222100 1214444200