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226666040 = 2354123371
BaseRepresentation
bin11011000001010…
…10011000111000
3120210111211100112
431200222120320
5431011303130
634254123452
75421425636
oct1540523070
9523454315
10226666040
11106a46607
1263ab0588
1337c62923
1422164356
1514d75495
hexd82a638

226666040 has 48 divisors (see below), whose sum is σ = 522896040. Its totient is φ = 88428800.

The previous prime is 226666031. The next prime is 226666061. The reversal of 226666040 is 40666622.

It is a junction number, because it is equal to n+sod(n) for n = 226665988 and 226666006.

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, 65555 + ... + 68925.

Almost surely, 2226666040 is an apocalyptic number.

226666040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261448020).

226666040 is an abundant number, since it is smaller than the sum of its proper divisors (296230000).

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

226666040 is a wasteful number, since it uses less digits than its factorization.

226666040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 226666040 is about 15055.4322422174. The cubic root of 226666040 is about 609.7177230203.

The spelling of 226666040 in words is "two hundred twenty-six million, six hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1681 3362 3371 6724 6742 8405 13448 13484 16810 16855 26968 33620 33710 67240 67420 134840 138211 276422 552844 691055 1105688 1382110 2764220 5528440 5666651 11333302 22666604 28333255 45333208 56666510 113333020 226666040