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226027008 = 2932181271
BaseRepresentation
bin11010111100011…
…10011000000000
3120202022100202200
431132032120000
5430330331013
634232313200
75413124604
oct1536163000
9522270680
10226027008
1110664a489
1263842800
1337a9aabc
1422039504
1514c9ae73
hexd78e600

226027008 has 120 divisors (see below), whose sum is σ = 658353696. Its totient is φ = 74649600.

The previous prime is 226026961. The next prime is 226027013. The reversal of 226027008 is 800720622.

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, 833913 + ... + 834183.

Almost surely, 2226027008 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 226027008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329176848).

226027008 is an abundant number, since it is smaller than the sum of its proper divisors (432326688).

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

226027008 is a wasteful number, since it uses less digits than its factorization.

226027008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 226027008 is about 15034.1946242557. The cubic root of 226027008 is about 609.1441981013.

The spelling of 226027008 in words is "two hundred twenty-six million, twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 256 271 288 362 384 512 542 543 576 724 768 813 1084 1086 1152 1448 1536 1626 1629 2168 2172 2304 2439 2896 3252 3258 4336 4344 4608 4878 5792 6504 6516 8672 8688 9756 11584 13008 13032 17344 17376 19512 23168 26016 26064 34688 34752 39024 46336 49051 52032 52128 69376 69504 78048 92672 98102 104064 104256 138752 139008 147153 156096 196204 208128 208512 278016 294306 312192 392408 416256 417024 441459 588612 624384 784816 834048 882918 1177224 1248768 1569632 1765836 2354448 3139264 3531672 4708896 6278528 7063344 9417792 12557056 14126688 18835584 25114112 28253376 37671168 56506752 75342336 113013504 226027008