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226852674916272 = 24343731519970901
BaseRepresentation
bin110011100101001001000001…
…000110101100111110110000
31002202012220101221220212000220
4303211021001012230332300
5214213223234234310042
62122250402525213040
765532364522140246
oct6345110106547660
91082186357825026
10226852674916272
1166311751a53789
1221539699a01180
139977166862182
144003a29aaa796
151b35e5a7c28ec
hexce52411acfb0

226852674916272 has 160 divisors (see below), whose sum is σ = 611905162277376. Its totient is φ = 72364803840000.

The previous prime is 226852674916253. The next prime is 226852674916277. The reversal of 226852674916272 is 272619476258622.

It is a super-2 number, since 2×2268526749162722 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226852674916197 and 226852674916206.

It is not an unprimeable number, because it can be changed into a prime (226852674916277) 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, 17766022 + ... + 27736922.

Almost surely, 2226852674916272 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 226852674916272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305952581138688).

226852674916272 is an abundant number, since it is smaller than the sum of its proper divisors (385052487361104).

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

226852674916272 is a wasteful number, since it uses less digits than its factorization.

226852674916272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971179 (or 9971173 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 69.

The spelling of 226852674916272 in words is "two hundred twenty-six trillion, eight hundred fifty-two billion, six hundred seventy-four million, nine hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 73 86 129 146 151 172 219 258 292 302 344 438 453 516 584 604 688 876 906 1032 1168 1208 1752 1812 2064 2416 3139 3504 3624 6278 6493 7248 9417 11023 12556 12986 18834 19479 22046 25112 25972 33069 37668 38958 44092 50224 51944 66138 75336 77916 88184 103888 132276 150672 155832 176368 264552 311664 473989 529104 947978 1421967 1895956 2843934 3791912 5687868 7583824 9970901 11375736 19941802 22751472 29912703 39883604 59825406 79767208 119650812 159534416 239301624 428748743 478603248 727875773 857497486 1286246229 1455751546 1505606051 1714994972 2183627319 2572492458 2911503092 3011212102 3429989944 4367254638 4516818153 5144984916 5823006184 6022424204 6859979888 8734509276 9033636306 10289969832 11646012368 12044848408 17469018552 18067272612 20579939664 24089696816 31298658239 34938037104 36134545224 62597316478 64741060193 72269090448 93895974717 109909241723 125194632956 129482120386 187791949434 194223180579 219818483446 250389265912 258964240772 329727725169 375583898868 388446361158 439636966892 500778531824 517928481544 659455450338 751167797736 776892722316 879273933784 1035856963088 1318910900676 1502335595472 1553785444632 1758547867568 2637821801352 3107570889264 4726097394089 5275643602704 9452194788178 14178292182267 18904389576356 28356584364534 37808779152712 56713168729068 75617558305424 113426337458136 226852674916272