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226464966 = 232721319751
BaseRepresentation
bin11010111111110…
…01010011000110
3120210010121112100
431133321103012
5430433334331
634245532530
75416630500
oct1537712306
9523117470
10226464966
11106919532
1263a14146
1337bc2250
1422110d70
1514d35ae6
hexd7f94c6

226464966 has 72 divisors (see below), whose sum is σ = 614721744. Its totient is φ = 59724000.

The previous prime is 226464943. The next prime is 226464983. The reversal of 226464966 is 669464622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1591 + ... + 21341.

It is an arithmetic number, because the mean of its divisors is an integer number (8537802).

Almost surely, 2226464966 is an apocalyptic number.

226464966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 226464966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307360872).

226464966 is an abundant number, since it is smaller than the sum of its proper divisors (388256778).

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

226464966 is a wasteful number, since it uses less digits than its factorization.

226464966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19786 (or 19776 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 226464966 is about 15048.7529715920. The cubic root of 226464966 is about 609.5373774461.

The spelling of 226464966 in words is "two hundred twenty-six million, four hundred sixty-four thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 11466 19751 39502 59253 118506 138257 177759 256763 276514 355518 414771 513526 770289 829542 967799 1244313 1540578 1797341 1935598 2310867 2488626 2903397 3594682 4621734 5392023 5806794 8710191 10784046 12581387 16176069 17420382 25162774 32352138 37744161 75488322 113232483 226464966