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226490337 = 3517109503
BaseRepresentation
bin11010111111111…
…11011111100001
3120210011220100000
431133333133201
5430440142322
634250250213
75420064453
oct1537773741
9523156300
10226490337
111069365a7
1263a26969
1337c00968
142211a2d3
1514d3d3ac
hexd7ff7e1

226490337 has 48 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 140527872.

The previous prime is 226490333. The next prime is 226490339. The reversal of 226490337 is 733094622.

It is a happy number.

226490337 is a `hidden beast` number, since 2 + 2 + 649 + 0 + 3 + 3 + 7 = 666.

It is not a de Polignac number, because 226490337 - 22 = 226490333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226490333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450028 + ... + 450530.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2226490337 is an apocalyptic number.

226490337 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

226490337 is a deficient number, since it is larger than the sum of its proper divisors (136752543).

226490337 is a wasteful number, since it uses less digits than its factorization.

226490337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 226490337 is about 15049.5959081963. The cubic root of 226490337 is about 609.5601388701.

The spelling of 226490337 in words is "two hundred twenty-six million, four hundred ninety thousand, three hundred thirty-seven".

Divisors: 1 3 9 17 27 51 81 109 153 243 327 459 503 981 1377 1509 1853 2943 4131 4527 5559 8551 8829 13581 16677 25653 26487 40743 50031 54827 76959 122229 150093 164481 230877 450279 493443 692631 932059 1480329 2077893 2796177 4440987 8388531 13322961 25165593 75496779 226490337