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226083240 = 233251514159
BaseRepresentation
bin11010111100111…
…00000110101000
3120202102012220100
431132130012220
5430334130430
634233425400
75413450545
oct1536340650
9522365810
10226083240
11106688759
126386b260
1337aba586
1422051bcc
1514cac960
hexd79c1a8

226083240 has 96 divisors (see below), whose sum is σ = 739814400. Its totient is φ = 59875200.

The previous prime is 226083233. The next prime is 226083251. The reversal of 226083240 is 42380622.

226083240 is a `hidden beast` number, since 22 + 608 + 32 + 4 + 0 = 666.

226083240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260832402 = 102227262817795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52281 + ... + 56439.

It is an arithmetic number, because the mean of its divisors is an integer number (7706400).

Almost surely, 2226083240 is an apocalyptic number.

226083240 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 226083240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369907200).

226083240 is an abundant number, since it is smaller than the sum of its proper divisors (513731160).

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

226083240 is a wasteful number, since it uses less digits than its factorization.

226083240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 226083240 is about 15036.0646447134. The cubic root of 226083240 is about 609.1947091098.

The spelling of 226083240 in words is "two hundred twenty-six million, eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 151 180 302 360 453 604 755 906 1208 1359 1510 1812 2265 2718 3020 3624 4159 4530 5436 6040 6795 8318 9060 10872 12477 13590 16636 18120 20795 24954 27180 33272 37431 41590 49908 54360 62385 74862 83180 99816 124770 149724 166360 187155 249540 299448 374310 499080 628009 748620 1256018 1497240 1884027 2512036 3140045 3768054 5024072 5652081 6280090 7536108 9420135 11304162 12560180 15072216 18840270 22608324 25120360 28260405 37680540 45216648 56520810 75361080 113041620 226083240