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226246230 = 233574349
BaseRepresentation
bin11010111110000…
…11111001010110
3120202201111111000
431133003321112
5430404334410
634241124130
75415030000
oct1537037126
9522644430
10226246230
1110678a161
1263929646
1337b46812
1422095370
1514ce0dc0
hexd7c3e56

226246230 has 160 divisors (see below), whose sum is σ = 705852000. Its totient is φ = 51565248.

The previous prime is 226246201. The next prime is 226246249. The reversal of 226246230 is 32642622.

226246230 is a `hidden beast` number, since 2 + 2 + 624 + 6 + 2 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 226246194 and 226246203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648096 + ... + 648444.

It is an arithmetic number, because the mean of its divisors is an integer number (4411575).

Almost surely, 2226246230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226246230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352926000).

226246230 is an abundant number, since it is smaller than the sum of its proper divisors (479605770).

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

226246230 is an equidigital number, since it uses as much as digits as its factorization.

226246230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 226246230 is about 15041.4836369289. The cubic root of 226246230 is about 609.3410693533.

Adding to 226246230 its reverse (32642622), we get a palindrome (258888852).

The spelling of 226246230 in words is "two hundred twenty-six million, two hundred forty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 343 349 378 441 490 630 686 698 735 882 945 1029 1047 1323 1470 1715 1745 1890 2058 2094 2205 2401 2443 2646 3087 3141 3430 3490 4410 4802 4886 5145 5235 6174 6282 6615 7203 7329 9261 9423 10290 10470 12005 12215 13230 14406 14658 15435 15705 17101 18522 18846 21609 21987 24010 24430 30870 31410 34202 36015 36645 43218 43974 46305 47115 51303 64827 65961 72030 73290 85505 92610 94230 102606 108045 109935 119707 129654 131922 153909 171010 216090 219870 239414 256515 307818 324135 329805 359121 461727 513030 598535 648270 659610 718242 769545 837949 923454 1077363 1197070 1539090 1675898 1795605 2154726 2308635 2513847 3232089 3591210 4189745 4617270 5027694 5386815 6464178 7541541 8379490 10773630 12569235 15083082 16160445 22624623 25138470 32320890 37707705 45249246 75415410 113123115 226246230