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226806741 = 32721730253
BaseRepresentation
bin11011000010011…
…00101111010101
3120210202222100200
431201030233111
5431030303431
634301131113
75422553100
oct1541145725
9523688320
10226806741
11107032297
1263b59a99
1337cb1995
142219d737
1514da1ee6
hexd84cbd5

226806741 has 36 divisors (see below), whose sum is σ = 403527852. Its totient is φ = 121976064.

The previous prime is 226806739. The next prime is 226806751. The reversal of 226806741 is 147608622.

It can be written as a sum of positive squares in 2 ways, for example, as 200335716 + 26471025 = 14154^2 + 5145^2 .

It is not a de Polignac number, because 226806741 - 21 = 226806739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 226806696 and 226806705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226806751) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7630 + ... + 22623.

It is an arithmetic number, because the mean of its divisors is an integer number (11209107).

Almost surely, 2226806741 is an apocalyptic number.

226806741 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

226806741 is a deficient number, since it is larger than the sum of its proper divisors (176721111).

226806741 is a wasteful number, since it uses less digits than its factorization.

226806741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30290 (or 30280 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 226806741 is about 15060.1042825075. The cubic root of 226806741 is about 609.8438559407.

The spelling of 226806741 in words is "two hundred twenty-six million, eight hundred six thousand, seven hundred forty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 30253 90759 211771 272277 514301 635313 1482397 1542903 1905939 3600107 4447191 4628709 10800321 13341573 25200749 32400963 75602247 226806741