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228100000 = 25552281
BaseRepresentation
bin11011001100010…
…00011110100000
3120220012200101011
431212020132200
5431343200000
634344550304
75436550402
oct1546103640
9526180334
10228100000
111078359a7
1264482394
133834551b
1422418b72
151505a2ba
hexd9887a0

228100000 has 72 divisors (see below), whose sum is σ = 561549996. Its totient is φ = 91200000.

The previous prime is 228099983. The next prime is 228100007. The reversal of 228100000 is 1822.

It can be written as a sum of positive squares in 6 ways, for example, as 20394256 + 207705744 = 4516^2 + 14412^2 .

It is a super-2 number, since 2×2281000002 = 104059220000000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228100007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98860 + ... + 101140.

Almost surely, 2228100000 is an apocalyptic number.

228100000 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 228100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280774998).

228100000 is an abundant number, since it is smaller than the sum of its proper divisors (333449996).

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

228100000 is an frugal number, since it uses more digits than its factorization.

228100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 228100000 is about 15102.9798384292. The cubic root of 228100000 is about 611.0007759175. Note that the first 3 decimals are identical.

Adding to 228100000 its reverse (1822), we get a palindrome (228101822).

The spelling of 228100000 in words is "two hundred twenty-eight million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2281 2500 3125 4000 4562 5000 6250 9124 10000 11405 12500 18248 20000 22810 25000 36496 45620 50000 57025 72992 91240 100000 114050 182480 228100 285125 364960 456200 570250 912400 1140500 1425625 1824800 2281000 2851250 4562000 5702500 7128125 9124000 11405000 14256250 22810000 28512500 45620000 57025000 114050000 228100000