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229454496 = 25322983331
BaseRepresentation
bin11011010110100…
…11001010100000
3120222202111101200
431223103022200
5432220020441
634434001200
75454221355
oct1553231240
9528674350
10229454496
11108580617
1264a16200
13386cabbb
142268c62c
15152267b6
hexdad32a0

229454496 has 144 divisors (see below), whose sum is σ = 685208160. Its totient is φ = 72737280.

The previous prime is 229454471. The next prime is 229454497. The reversal of 229454496 is 694454922.

229454496 is a `hidden beast` number, since 22 + 94 + 54 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2294544962 = 105298731469228032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (229454497) 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 23 ways as a sum of consecutive naturals, for example, 693051 + ... + 693381.

It is an arithmetic number, because the mean of its divisors is an integer number (4758390).

Almost surely, 2229454496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229454496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342604080).

229454496 is an abundant number, since it is smaller than the sum of its proper divisors (455753664).

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

229454496 is a wasteful number, since it uses less digits than its factorization.

229454496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 229454496 is about 15147.7554772976. The cubic root of 229454496 is about 612.2077982047.

The spelling of 229454496 in words is "two hundred twenty-nine million, four hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 83 87 96 116 144 166 174 232 249 261 288 331 332 348 464 498 522 662 664 696 747 928 993 996 1044 1324 1328 1392 1494 1986 1992 2088 2407 2648 2656 2784 2979 2988 3972 3984 4176 4814 5296 5958 5976 7221 7944 7968 8352 9599 9628 10592 11916 11952 14442 15888 19198 19256 21663 23832 23904 27473 28797 28884 31776 38396 38512 43326 47664 54946 57594 57768 76792 77024 82419 86391 86652 95328 109892 115188 115536 153584 164838 172782 173304 219784 230376 231072 247257 307168 329676 345564 346608 439568 460752 494514 659352 691128 693216 796717 879136 921504 989028 1318704 1382256 1593434 1978056 2390151 2637408 2764512 3186868 3956112 4780302 6373736 7170453 7912224 9560604 12747472 14340906 19121208 25494944 28681812 38242416 57363624 76484832 114727248 229454496