Search a number
-
+
227994600 = 23352438837
BaseRepresentation
bin11011001011011…
…10101111101000
3120220000022210110
431211232233220
5431331311400
634342414320
75435631201
oct1545565750
9526008713
10227994600
11107773799
12644313a0
1338309562
14223cc5a8
1515038e50
hexd96ebe8

227994600 has 96 divisors (see below), whose sum is σ = 723301920. Its totient is φ = 59377920.

The previous prime is 227994587. The next prime is 227994619. The reversal of 227994600 is 6499722.

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, 21382 + ... + 30218.

It is an arithmetic number, because the mean of its divisors is an integer number (7534395).

Almost surely, 2227994600 is an apocalyptic number.

227994600 is a gapful number since it is divisible by the number (20) 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 227994600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361650960).

227994600 is an abundant number, since it is smaller than the sum of its proper divisors (495307320).

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

227994600 is a wasteful number, since it uses less digits than its factorization.

227994600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 227994600 is about 15099.4900576145. The cubic root of 227994600 is about 610.9066514056.

The spelling of 227994600 in words is "two hundred twenty-seven million, nine hundred ninety-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5160 6450 8600 8837 12900 17674 25800 26511 35348 44185 53022 70696 88370 106044 132555 176740 212088 220925 265110 353480 379991 441850 530220 662775 759982 883700 1060440 1139973 1325550 1519964 1767400 1899955 2279946 2651100 3039928 3799910 4559892 5302200 5699865 7599820 9119784 9499775 11399730 15199640 18999550 22799460 28499325 37999100 45598920 56998650 75998200 113997300 227994600