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575668224 = 2203261
BaseRepresentation
bin100010010100000…
…000000000000000
31111010012222100100
4202110000000000
52134332340344
6133042322400
720160046005
oct4224000000
91433188310
10575668224
11275a4a06a
12140959400
13923598b1
14566518ac
1535813569
hex22500000

575668224 has 126 divisors (see below), whose sum is σ = 1690303706. Its totient is φ = 188743680.

The previous prime is 575668201. The next prime is 575668253. The reversal of 575668224 is 422866575.

575668224 is a `hidden beast` number, since 5 + 7 + 566 + 82 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 339738624 + 235929600 = 18432^2 + 15360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 575668224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9437154 + ... + 9437214.

Almost surely, 2575668224 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 575668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845151853).

575668224 is an abundant number, since it is smaller than the sum of its proper divisors (1114635482).

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

575668224 is an frugal number, since it uses more digits than its factorization.

575668224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 575668224 is about 23993.0870043852. The cubic root of 575668224 is about 831.8737481012.

The spelling of 575668224 in words is "five hundred seventy-five million, six hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1024 1098 1152 1464 1536 1952 2048 2196 2304 2928 3072 3904 4096 4392 4608 5856 6144 7808 8192 8784 9216 11712 12288 15616 16384 17568 18432 23424 24576 31232 32768 35136 36864 46848 49152 62464 65536 70272 73728 93696 98304 124928 131072 140544 147456 187392 196608 249856 262144 281088 294912 374784 393216 499712 524288 562176 589824 749568 786432 999424 1048576 1124352 1179648 1499136 1572864 1998848 2248704 2359296 2998272 3145728 3997696 4497408 4718592 5996544 7995392 8994816 9437184 11993088 15990784 17989632 23986176 31981568 35979264 47972352 63963136 71958528 95944704 143917056 191889408 287834112 575668224