Search a number
-
+
226008741420 = 2232571116306547
BaseRepresentation
bin1101001001111100101…
…0111011011000101100
3210121100221022122101200
43102133022323120230
512200331214211140
6251454343405500
722220464414320
oct3223712733054
9717327278350
10226008741420
1187939051620
1237975a53890
131840a8335b7
14ad2040d980
155d2b9a3030
hex349f2bb62c

226008741420 has 144 divisors (see below), whose sum is σ = 854724019968. Its totient is φ = 46962852480.

The previous prime is 226008741383. The next prime is 226008741457. The reversal of 226008741420 is 24147800622.

226008741420 is a `hidden beast` number, since 2 + 2 + 600 + 8 + 7 + 4 + 1 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226008741383) and next prime (226008741457).

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

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, 8139414 + ... + 8167133.

It is an arithmetic number, because the mean of its divisors is an integer number (5935583472).

Almost surely, 2226008741420 is an apocalyptic number.

226008741420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226008741420 is an abundant number, since it is smaller than the sum of its proper divisors (628715278548).

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

226008741420 is a wasteful number, since it uses less digits than its factorization.

226008741420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16306580 (or 16306575 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 226008741420 in words is "two hundred twenty-six billion, eight million, seven hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 16306547 32613094 48919641 65226188 81532735 97839282 114145829 146758923 163065470 179372017 195678564 228291658 244598205 293517846 326130940 342437487 358744034 456583316 489196410 538116051 570729145 587035692 684874974 717488068 733794615 896860085 978392820 1027312461 1076232102 1141458290 1255604119 1369749948 1467589230 1614348153 1712187435 1793720170 2054624922 2152464204 2282916580 2511208238 2690580255 2935178460 3228696306 3424374870 3587440340 3766812357 4109249844 5022416476 5136562305 5381160510 6278020595 6457392612 6848749740 7533624714 8071740765 10273124610 10762321020 11300437071 12556041190 15067249428 16143481530 18834061785 20546249220 22600874142 25112082380 32286963060 37668123570 45201748284 56502185355 75336247140 113004370710 226008741420