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228047100 = 223524491693
BaseRepresentation
bin11011001011110…
…11100011111100
3120220002222210220
431211323203330
5431340001400
634343501340
75436240231
oct1545734374
9526088726
10228047100
111077aa186
1264457850
1338327418
1422403788
15150497a0
hexd97b8fc

228047100 has 72 divisors (see below), whose sum is σ = 661676400. Its totient is φ = 60641280.

The previous prime is 228047089. The next prime is 228047107. The reversal of 228047100 is 1740822.

It is a super-3 number, since 3×2280471003 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228047107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133854 + ... + 135546.

It is an arithmetic number, because the mean of its divisors is an integer number (9189950).

Almost surely, 2228047100 is an apocalyptic number.

228047100 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 228047100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330838200).

228047100 is an abundant number, since it is smaller than the sum of its proper divisors (433629300).

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

228047100 is a wasteful number, since it uses less digits than its factorization.

228047100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 228047100 is about 15101.2284268532. The cubic root of 228047100 is about 610.9535386823.

Adding to 228047100 its reverse (1740822), we get a palindrome (229787922).

The spelling of 228047100 in words is "two hundred twenty-eight million, forty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 449 898 1347 1693 1796 2245 2694 3386 4490 5079 5388 6735 6772 8465 8980 10158 11225 13470 16930 20316 22450 25395 26940 33675 33860 42325 44900 50790 67350 84650 101580 126975 134700 169300 253950 507900 760157 1520314 2280471 3040628 3800785 4560942 7601570 9121884 11402355 15203140 19003925 22804710 38007850 45609420 57011775 76015700 114023550 228047100