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226411241320 = 235117919333749
BaseRepresentation
bin1101001011011100101…
…0010101111101101000
3210122101222200202110101
43102313022111331220
512202142234210240
6252002322355144
722233452540365
oct3226712257550
9718358622411
10226411241320
1188025274770
1237a687bbab4
131847303ba14
14ad5ba6546c
155d51eac39a
hex34b7295f68

226411241320 has 128 divisors (see below), whose sum is σ = 565704000000. Its totient is φ = 80865607680.

The previous prime is 226411241317. The next prime is 226411241341. The reversal of 226411241320 is 23142114622.

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, 6691806 + ... + 6725554.

It is an arithmetic number, because the mean of its divisors is an integer number (4419562500).

Almost surely, 2226411241320 is an apocalyptic number.

226411241320 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 226411241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282852000000).

226411241320 is an abundant number, since it is smaller than the sum of its proper divisors (339292758680).

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

226411241320 is a wasteful number, since it uses less digits than its factorization.

226411241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34043 (or 34039 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 226411241320 its reverse (23142114622), we get a palindrome (249553355942).

The spelling of 226411241320 in words is "two hundred twenty-six billion, four hundred eleven million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 193 220 316 386 395 440 632 772 790 869 965 1544 1580 1738 1930 2123 3160 3476 3860 4246 4345 6952 7720 8492 8690 10615 15247 16984 17380 21230 30494 33749 34760 42460 60988 67498 76235 84920 121976 134996 152470 167717 168745 269992 304940 335434 337490 371239 609880 670868 674980 742478 838585 1341736 1349960 1484956 1677170 1856195 2666171 2969912 3354340 3712390 5332342 6513557 6708680 7424780 10664684 13027114 13330855 14849560 21329368 26054228 26661710 29327881 32567785 52108456 53323420 58655762 65135570 71649127 106646840 117311524 130271140 143298254 146639405 234623048 260542280 286596508 293278810 358245635 514571003 573193016 586557620 716491270 1029142006 1173115240 1432982540 2058284012 2572855015 2865965080 4116568024 5145710030 5660281033 10291420060 11320562066 20582840120 22641124132 28301405165 45282248264 56602810330 113205620660 226411241320