Search a number
-
+
226817220 = 22357540041
BaseRepresentation
bin11011000010011…
…11010011000100
3120210210111201210
431201033103010
5431031122340
634301251420
75422625460
oct1541172304
9523714653
10226817220
1110703a153
1263b63b70
1337cb6696
14221a34a0
1514da5180
hexd84f4c4

226817220 has 48 divisors (see below), whose sum is σ = 725816448. Its totient is φ = 51843840.

The previous prime is 226817189. The next prime is 226817233. The reversal of 226817220 is 22718622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269601 + ... + 270440.

It is an arithmetic number, because the mean of its divisors is an integer number (15121176).

Almost surely, 2226817220 is an apocalyptic number.

226817220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226817220 is an abundant number, since it is smaller than the sum of its proper divisors (498999228).

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

226817220 is a wasteful number, since it uses less digits than its factorization.

226817220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540060 (or 540058 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 226817220 is about 15060.4521844465. The cubic root of 226817220 is about 609.8532478652.

The spelling of 226817220 in words is "two hundred twenty-six million, eight hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 540041 1080082 1620123 2160164 2700205 3240246 3780287 5400410 6480492 7560574 8100615 10800820 11340861 15121148 16201230 18901435 22681722 32402460 37802870 45363444 56704305 75605740 113408610 226817220