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226466227134 = 23372931765171
BaseRepresentation
bin1101001011101001110…
…0000110001110111110
3210122112211011022211000
43102322130012032332
512202300323232014
6252012005111130
722235021112030
oct3227234061676
9718484138730
10226466227134
1188053310394
1237a830b84a6
13184815515c4
14ad65099c50
155d56c1e509
hex34ba7063be

226466227134 has 128 divisors (see below), whose sum is σ = 596871244800. Its totient is φ = 62275409280.

The previous prime is 226466227121. The next prime is 226466227157. The reversal of 226466227134 is 431722664622.

226466227134 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 6 + 622 + 7 + 13 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 226466227134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3442369 + ... + 3507539.

It is an arithmetic number, because the mean of its divisors is an integer number (4663056600).

Almost surely, 2226466227134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226466227134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298435622400).

226466227134 is an abundant number, since it is smaller than the sum of its proper divisors (370405017666).

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

226466227134 is a wasteful number, since it uses less digits than its factorization.

226466227134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65535 (or 65529 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 226466227134 in words is "two hundred twenty-six billion, four hundred sixty-six million, two hundred twenty-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 317 378 406 522 609 634 783 951 1218 1566 1827 1902 2219 2853 3654 4438 5481 5706 6657 8559 9193 10962 13314 17118 18386 19971 27579 39942 55158 59913 64351 65171 82737 119826 128702 130342 165474 193053 195513 248211 386106 391026 456197 496422 579159 586539 912394 1158318 1173078 1368591 1737477 1759617 1889959 2737182 3474954 3519234 3779918 4105773 5669877 8211546 11339754 12317319 13229713 17009631 20659207 24634638 26459426 34019262 39689139 41318414 51028893 61977621 79378278 102057786 119067417 123955242 144614449 185932863 238134834 289228898 357202251 371865726 433843347 557798589 599117003 714404502 867686694 1115597178 1198234006 1301530041 1797351009 2603060082 3594702018 3904590123 4193819021 5392053027 7809180246 8387638042 10784106054 12581457063 16176159081 25162914126 32352318162 37744371189 75488742378 113233113567 226466227134