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226341301264 = 2413171493531217
BaseRepresentation
bin1101001011001011111…
…1100010110000010000
3210122020010002102201221
43102302333202300100
512202021333120024
6251551343334424
722231643213461
oct3226277426020
9718203072657
10226341301264
1187a99844771
1237a492b1414
13184616c1580
14ad5265ad68
155d4ac943e4
hex34b2fe2c10

226341301264 has 160 divisors (see below), whose sum is σ = 505247349600. Its totient is φ = 97303658496.

The previous prime is 226341301177. The next prime is 226341301267. The reversal of 226341301264 is 462103143622.

It can be written as a sum of positive squares in 16 ways, for example, as 114035886864 + 112305414400 = 337692^2 + 335120^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (226341301267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185982384 + ... + 185983600.

It is an arithmetic number, because the mean of its divisors is an integer number (3157795935).

Almost surely, 2226341301264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226341301264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252623674800).

226341301264 is an abundant number, since it is smaller than the sum of its proper divisors (278906048336).

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

226341301264 is a wasteful number, since it uses less digits than its factorization.

226341301264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 226341301264 its reverse (462103143622), we get a palindrome (688444444886).

The spelling of 226341301264 in words is "two hundred twenty-six billion, three hundred forty-one million, three hundred one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 149 208 221 272 298 353 442 596 706 884 1192 1217 1412 1768 1937 2384 2434 2533 2824 3536 3874 4589 4868 5066 5648 6001 7748 9178 9736 10132 12002 15496 15821 18356 19472 20264 20689 24004 30992 31642 32929 36712 40528 41378 48008 52597 63284 65858 73424 78013 82756 96016 105194 126568 131716 156026 165512 181333 210388 253136 263432 268957 312052 331024 362666 420776 429601 526864 537914 624104 683761 725332 841552 859202 894149 1075828 1248208 1367522 1450664 1718404 1788298 2151656 2357329 2735044 2901328 3082661 3436808 3576596 4303312 4714658 5470088 5584813 6165322 6873616 7153192 7303217 9429316 10940176 11169626 11623937 12330644 14306384 14606434 18858632 22339252 23247874 24661288 29212868 37717264 40074593 44678504 46495748 49322576 58425736 64010549 80149186 89357008 92991496 94941821 116851472 128021098 160298372 185982992 189883642 256042196 320596744 379767284 512084392 641193488 759534568 832137137 1024168784 1088179333 1519069136 1664274274 2176358666 3328548548 4352717332 6657097096 8705434664 13314194192 14146331329 17410869328 28292662658 56585325316 113170650632 226341301264