Search a number
-
+
228410100 = 223252253789
BaseRepresentation
bin11011001110101…
…00001011110100
3120220210102202100
431213110023310
5431433110400
634355342100
75442311442
oct1547241364
9526712670
10228410100
11107a27986
12645b1930
1338423709
1422499b92
15150bc100
hexd9d42f4

228410100 has 54 divisors (see below), whose sum is σ = 715941590. Its totient is φ = 60909120.

The previous prime is 228410089. The next prime is 228410101. The reversal of 228410100 is 1014822.

It can be written as a sum of positive squares in 3 ways, for example, as 36144144 + 192265956 = 6012^2 + 13866^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228410101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125995 + ... + 127794.

Almost surely, 2228410100 is an apocalyptic number.

228410100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228410100 is an abundant number, since it is smaller than the sum of its proper divisors (487531490).

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

228410100 is a wasteful number, since it uses less digits than its factorization.

228410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253809 (or 253799 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 228410100 is about 15113.2425375893. The cubic root of 228410100 is about 611.2775339825.

Adding to 228410100 its reverse (1014822), we get a palindrome (229424922).

The spelling of 228410100 in words is "two hundred twenty-eight million, four hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 253789 507578 761367 1015156 1268945 1522734 2284101 2537890 3045468 3806835 4568202 5075780 6344725 7613670 9136404 11420505 12689450 15227340 19034175 22841010 25378900 38068350 45682020 57102525 76136700 114205050 228410100