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224564025 = 3527521821
BaseRepresentation
bin11010110001010…
…01001100111001
3120122120000221010
431120221030321
5424442022100
634141104133
75364522420
oct1530511471
9518500833
10224564025
11105840304
1263258049
13376a7c2a
1421b782b7
1514aac750
hexd629339

224564025 has 48 divisors (see below), whose sum is σ = 425651328. Its totient is φ = 102336000.

The previous prime is 224563993. The next prime is 224564027. The reversal of 224564025 is 520465422.

It is a happy number.

224564025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 224564025 - 25 = 224563993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224563983 and 224564001.

It is not an unprimeable number, because it can be changed into a prime (224564027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273115 + ... + 273935.

It is an arithmetic number, because the mean of its divisors is an integer number (8867736).

Almost surely, 2224564025 is an apocalyptic number.

224564025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224564025 is a deficient number, since it is larger than the sum of its proper divisors (201087303).

224564025 is a wasteful number, since it uses less digits than its factorization.

224564025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 224564025 is about 14985.4604533861. The cubic root of 224564025 is about 607.8271028822.

The spelling of 224564025 in words is "two hundred twenty-four million, five hundred sixty-four thousand, twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 521 525 821 1563 2463 2605 3647 4105 5747 7815 10941 12315 13025 17241 18235 20525 28735 39075 54705 61575 86205 91175 143675 273525 427741 431025 1283223 2138705 2994187 6416115 8982561 10693525 14970935 32080575 44912805 74854675 224564025