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226592808 = 233135371193
BaseRepresentation
bin11011000000110…
…00100000101000
3120210101002220020
431200120200220
5431001432213
634252400440
75421002301
oct1540304050
9523332806
10226592808
111069a6592
1263a76120
1337c384b0
14221457a8
1514d5d923
hexd818828

226592808 has 128 divisors (see below), whose sum is σ = 633588480. Its totient is φ = 67092480.

The previous prime is 226592801. The next prime is 226592819. The reversal of 226592808 is 808295622.

It is a Cunningham number, because it is equal to 150532-1.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 226592808.

It is not an unprimeable number, because it can be changed into a prime (226592801) 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, 1173960 + ... + 1174152.

It is an arithmetic number, because the mean of its divisors is an integer number (4949910).

Almost surely, 2226592808 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 226592808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316794240).

226592808 is an abundant number, since it is smaller than the sum of its proper divisors (406995672).

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

226592808 is a wasteful number, since it uses less digits than its factorization.

226592808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 226592808 is about 15052.9999667840. Note that the first 4 decimals coincide. The cubic root of 226592808 is about 609.6520527537.

The spelling of 226592808 in words is "two hundred twenty-six million, five hundred ninety-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 71 78 104 106 142 156 159 193 212 213 284 312 318 386 424 426 568 579 636 689 772 852 923 1158 1272 1378 1544 1704 1846 2067 2316 2509 2756 2769 3692 3763 4134 4632 5018 5512 5538 7384 7526 7527 8268 10036 10229 11076 11289 13703 15052 15054 16536 20072 20458 22152 22578 27406 30104 30108 30687 40916 41109 45156 48919 54812 60216 61374 81832 82218 90312 97838 109624 122748 132977 146757 164436 178139 195676 245496 265954 293514 328872 356278 391352 398931 531908 534417 587028 712556 726259 797862 1063816 1068834 1174056 1425112 1452518 1595724 2137668 2178777 2905036 3191448 4275336 4357554 5810072 8715108 9441367 17430216 18882734 28324101 37765468 56648202 75530936 113296404 226592808