Search a number
-
+
226125460 = 2251119471151
BaseRepresentation
bin11010111101001…
…10011010010100
3120202111100211001
431132212122110
5430342003320
634234353044
75414014621
oct1536463224
9522440731
10226125460
11106707450
126388b784
1337b03862
1422063348
1514cba20a
hexd7a6694

226125460 has 96 divisors (see below), whose sum is σ = 557383680. Its totient is φ = 76176000.

The previous prime is 226125451. The next prime is 226125511. The reversal of 226125460 is 64521622.

It is a super-2 number, since 2×2261254602 = 102265447320423200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195885 + ... + 197035.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2226125460 is an apocalyptic number.

226125460 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 226125460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

226125460 is an abundant number, since it is smaller than the sum of its proper divisors (331258220).

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

226125460 is a wasteful number, since it uses less digits than its factorization.

226125460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 226125460 is about 15037.4685369579. The cubic root of 226125460 is about 609.2326281815.

The spelling of 226125460 in words is "two hundred twenty-six million, one hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 47 55 76 94 95 110 188 190 209 220 235 380 418 470 517 836 893 940 1034 1045 1151 1786 2068 2090 2302 2585 3572 4180 4465 4604 5170 5755 8930 9823 10340 11510 12661 17860 19646 21869 23020 25322 39292 43738 49115 50644 54097 63305 87476 98230 108194 109345 126610 196460 216388 218690 240559 253220 270485 437380 481118 540970 595067 962236 1027843 1081940 1190134 1202795 2055686 2380268 2405590 2975335 4111372 4811180 5139215 5950670 10278430 11306273 11901340 20556860 22612546 45225092 56531365 113062730 226125460