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225746433 = 3411231743
BaseRepresentation
bin11010111010010…
…01111000000001
3120201210002220000
431131021320001
5430242341213
634222310213
75410545603
oct1535117001
9521702800
10225746433
11106478700
1263728369
1337a00193
1421da5173
1514c42c73
hexd749e01

225746433 has 60 divisors (see below), whose sum is σ = 383142144. Its totient is φ = 132224400.

The previous prime is 225746419. The next prime is 225746459. The reversal of 225746433 is 334647522.

225746433 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 4 + 643 + 3 = 666.

It is not a de Polignac number, because 225746433 - 25 = 225746401 is a prime.

It is a super-2 number, since 2×2257464332 = 101922904024446978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225746483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 303460 + ... + 304202.

Almost surely, 2225746433 is an apocalyptic number.

It is an amenable number.

225746433 is a deficient number, since it is larger than the sum of its proper divisors (157395711).

225746433 is a wasteful number, since it uses less digits than its factorization.

225746433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 788 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 225746433 is about 15024.8604985204. The cubic root of 225746433 is about 608.8920432773.

The spelling of 225746433 in words is "two hundred twenty-five million, seven hundred forty-six thousand, four hundred thirty-three".

Divisors: 1 3 9 11 27 31 33 81 93 99 121 279 297 341 363 743 837 891 1023 1089 2229 2511 3069 3267 3751 6687 8173 9207 9801 11253 20061 23033 24519 27621 33759 60183 69099 73557 89903 101277 207297 220671 253363 269709 303831 621891 662013 760089 809127 1865673 2280267 2427381 2786993 6840801 7282143 8360979 20522403 25082937 75248811 225746433