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226537117940736 = 2103255574423403
BaseRepresentation
bin110011100000100011001000…
…011100010111110000000000
31002201002201220020210120210200
4303200203020130113300000
5214143041004143100421
62121445414300125200
765500523652122031
oct6340431034276000
91081081806716720
10226537117940736
11661aa9412a3509
12214a84b2536800
1399534879a3cc5
143dd265279aa88
151b2cb3c47e726
hexce08c8717c00

226537117940736 has 132 divisors (see below), whose sum is σ = 654238870964952. Its totient is φ = 75498766884864.

The previous prime is 226537117940681. The next prime is 226537117940753. The reversal of 226537117940736 is 637049711735622.

226537117940736 is a `hidden beast` number, since 2 + 2 + 6 + 53 + 7 + 1 + 179 + 407 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49001611 + ... + 53425013.

Almost surely, 2226537117940736 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 226537117940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327119435482476).

226537117940736 is an abundant number, since it is smaller than the sum of its proper divisors (427701753024216).

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

226537117940736 is a wasteful number, since it uses less digits than its factorization.

226537117940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4428986 (or 4428965 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 226537117940736 in words is "two hundred twenty-six trillion, five hundred thirty-seven billion, one hundred seventeen million, nine hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 5557 9216 11114 16671 22228 33342 44456 50013 66684 88912 100026 133368 177824 200052 266736 355648 400104 533472 711296 800208 1066944 1422592 1600416 2133888 2845184 3200832 4267776 4423403 5690368 6401664 8535552 8846806 12803328 13270209 17071104 17693612 25606656 26540418 35387224 39810627 51213312 53080836 70774448 79621254 106161672 141548896 159242508 212323344 283097792 318485016 424646688 566195584 636970032 849293376 1132391168 1273940064 1698586752 2264782336 2547880128 3397173504 4529564672 5095760256 6794347008 10191520512 13588694016 20383041024 24580850471 40766082048 49161700942 73742551413 98323401884 147485102826 196646803768 221227654239 294970205652 393293607536 442455308478 589940411304 786587215072 884910616956 1179880822608 1573174430144 1769821233912 2359761645216 3146348860288 3539642467824 4719523290432 6292697720576 7079284935648 9439046580864 12585395441152 14158569871296 18878093161728 25170790882304 28317139742592 37756186323456 56634279485184 75512372646912 113268558970368 226537117940736