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227680000 = 28541423
BaseRepresentation
bin11011001001000…
…01111100000000
3120212102100020121
431210201330000
5431241230000
634331550024
75433151042
oct1544417400
9525370217
10227680000
11107579399
12642bb314
13382292c2
1422349a92
1514ec5b1a
hexd921f00

227680000 has 90 divisors (see below), whose sum is σ = 568305584. Its totient is φ = 91008000.

The previous prime is 227679989. The next prime is 227680001. The reversal of 227680000 is 86722.

227680000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159289 + ... + 160711.

Almost surely, 2227680000 is an apocalyptic number.

227680000 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 227680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284152792).

227680000 is an abundant number, since it is smaller than the sum of its proper divisors (340625584).

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

227680000 is an frugal number, since it uses more digits than its factorization.

227680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 227680000 is about 15089.0688910880. The cubic root of 227680000 is about 610.6255340762.

The spelling of 227680000 in words is "two hundred twenty-seven million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1423 1600 2000 2500 2846 3200 4000 5000 5692 6400 7115 8000 10000 11384 14230 16000 20000 22768 28460 32000 35575 40000 45536 56920 71150 80000 91072 113840 142300 160000 177875 182144 227680 284600 355750 364288 455360 569200 711500 889375 910720 1138400 1423000 1778750 1821440 2276800 2846000 3557500 4553600 5692000 7115000 9107200 11384000 14230000 22768000 28460000 45536000 56920000 113840000 227680000