Search a number
-
+
226005741 = 33131933889
BaseRepresentation
bin11010111100010…
…01001011101101
3120202021021121000
431132021023231
5430324140431
634232030513
75413005603
oct1536111355
9522237530
10226005741
11106635505
1263832439
1337a91210
1422031873
1514c949e6
hexd7892ed

226005741 has 32 divisors (see below), whose sum is σ = 379568000. Its totient is φ = 131756544.

The previous prime is 226005713. The next prime is 226005743. The reversal of 226005741 is 147500622.

226005741 is a `hidden beast` number, since 2 + 2 + 600 + 57 + 4 + 1 = 666.

It is not a de Polignac number, because 226005741 - 26 = 226005677 is a prime.

It is a super-3 number, since 3×2260057413 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226005743) 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, 10276 + ... + 23613.

It is an arithmetic number, because the mean of its divisors is an integer number (11861500).

Almost surely, 2226005741 is an apocalyptic number.

It is an amenable number.

226005741 is a deficient number, since it is larger than the sum of its proper divisors (153562259).

226005741 is a wasteful number, since it uses less digits than its factorization.

226005741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33930 (or 33924 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 226005741 is about 15033.4873199800. The cubic root of 226005741 is about 609.1250926028.

The spelling of 226005741 in words is "two hundred twenty-six million, five thousand, seven hundred forty-one".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2223 6669 33889 101667 305001 440557 643891 915003 1321671 1931673 3965013 5795019 8370583 11895039 17385057 25111749 75335247 226005741