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226481490 = 232514916889
BaseRepresentation
bin11010111111111…
…01010101010010
3120210011110012100
431133331111102
5430434401430
634250141230
75420026614
oct1537752522
9523143170
10226481490
1110692a994
1263a21816
1337bc9921
1422116db4
1514d3a960
hexd7fd552

226481490 has 48 divisors (see below), whose sum is σ = 592839000. Its totient is φ = 59986176.

The previous prime is 226481459. The next prime is 226481527. The reversal of 226481490 is 94184622.

226481490 is a `hidden beast` number, since 2 + 2 + 648 + 1 + 4 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69906321 + 156575169 = 8361^2 + 12513^2 .

It is a super-3 number, since 3×2264814903 (a number of 26 digits) contains 333 as substring.

It is a Curzon 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, 4966 + ... + 21854.

Almost surely, 2226481490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226481490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296419500).

226481490 is an abundant number, since it is smaller than the sum of its proper divisors (366357510).

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

226481490 is a wasteful number, since it uses less digits than its factorization.

226481490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17051 (or 17048 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 226481490 is about 15049.3019771682. The cubic root of 226481490 is about 609.5522020359.

The spelling of 226481490 in words is "two hundred twenty-six million, four hundred eighty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 13410 16889 33778 50667 84445 101334 152001 168890 253335 304002 506670 760005 1520010 2516461 5032922 7549383 12582305 15098766 22648149 25164610 37746915 45296298 75493830 113240745 226481490