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226299060 = 223251397997
BaseRepresentation
bin11010111110100…
…00110010110100
3120202211011221200
431133100302310
5430413032220
634242212500
75415340011
oct1537206264
9522734850
10226299060
11106815919
1263954130
1337b64890
14220aa708
1514d01890
hexd7d0cb4

226299060 has 144 divisors (see below), whose sum is σ = 747613776. Its totient is φ = 55074816.

The previous prime is 226299041. The next prime is 226299079. The reversal of 226299060 is 60992622.

226299060 is a `hidden beast` number, since 22 + 629 + 9 + 0 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226299041) and next prime (226299079).

It can be written as a sum of positive squares in 8 ways, for example, as 1838736 + 224460324 = 1356^2 + 14982^2 .

It is a super-2 number, since 2×2262990602 = 102422529113767200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226482 + ... + 227478.

Almost surely, 2226299060 is an apocalyptic number.

226299060 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 226299060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373806888).

226299060 is an abundant number, since it is smaller than the sum of its proper divisors (521314716).

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

226299060 is a wasteful number, since it uses less digits than its factorization.

226299060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 226299060 is about 15043.2396776758. The cubic root of 226299060 is about 609.3884940602.

The spelling of 226299060 in words is "two hundred twenty-six million, two hundred ninety-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 97 117 130 156 180 194 195 234 260 291 388 390 468 485 582 585 780 873 970 997 1164 1170 1261 1455 1746 1940 1994 2340 2522 2910 2991 3492 3783 3988 4365 4985 5044 5820 5982 6305 7566 8730 8973 9970 11349 11964 12610 12961 14955 15132 17460 17946 18915 19940 22698 25220 25922 29910 35892 37830 38883 44865 45396 51844 56745 59820 64805 75660 77766 89730 96709 113490 116649 129610 155532 179460 193418 194415 226980 233298 259220 290127 386836 388830 466596 483545 580254 583245 777660 870381 967090 1160508 1166490 1257217 1450635 1740762 1934180 2332980 2514434 2901270 3481524 3771651 4351905 5028868 5802540 6286085 7543302 8703810 11314953 12572170 15086604 17407620 18858255 22629906 25144340 37716510 45259812 56574765 75433020 113149530 226299060