Search a number
-
+
226792100 = 22522267921
BaseRepresentation
bin11011000010010…
…01001010100100
3120210202020021102
431201021022210
5431024321400
634300535232
75422462313
oct1541111244
9523666242
10226792100
11107022297
1263b51518
1337ca8112
142219827a
1514d9c9d5
hexd8492a4

226792100 has 18 divisors (see below), whose sum is σ = 492139074. Its totient is φ = 90716800.

The previous prime is 226792099. The next prime is 226792103. The reversal of 226792100 is 1297622.

It can be written as a sum of positive squares in 3 ways, for example, as 6031936 + 220760164 = 2456^2 + 14858^2 .

It is not an unprimeable number, because it can be changed into a prime (226792103) 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 5 ways as a sum of consecutive naturals, for example, 1133861 + ... + 1134060.

Almost surely, 2226792100 is an apocalyptic number.

226792100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226792100 is an abundant number, since it is smaller than the sum of its proper divisors (265346974).

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

226792100 is a wasteful number, since it uses less digits than its factorization.

226792100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267935 (or 2267928 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 226792100 is about 15059.6181890511. The cubic root of 226792100 is about 609.8307332913.

The spelling of 226792100 in words is "two hundred twenty-six million, seven hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2267921 4535842 9071684 11339605 22679210 45358420 56698025 113396050 226792100