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224223825 = 35272391787
BaseRepresentation
bin11010101110101…
…10001001010001
3120121220202021010
431113112021101
5424400130300
634125521133
75361604530
oct1527261121
9517822233
10224223825
11105628751
12631131a9
13375b9127
1421aca317
1514a41a50
hexd5d6251

224223825 has 48 divisors (see below), whose sum is σ = 425687040. Its totient is φ = 102016320.

The previous prime is 224223823. The next prime is 224223827. The reversal of 224223825 is 528322422.

224223825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224223823) and next prime (224223827).

It is not a de Polignac number, because 224223825 - 21 = 224223823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224223792 and 224223801.

It is not an unprimeable number, because it can be changed into a prime (224223823) 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, 124582 + ... + 126368.

It is an arithmetic number, because the mean of its divisors is an integer number (8868480).

Almost surely, 2224223825 is an apocalyptic number.

224223825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224223825 is a deficient number, since it is larger than the sum of its proper divisors (201463215).

224223825 is a wasteful number, since it uses less digits than its factorization.

224223825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2041 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 224223825 is about 14974.1051485556. The cubic root of 224223825 is about 607.5200081473.

The spelling of 224223825 in words is "two hundred twenty-four million, two hundred twenty-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 239 525 717 1195 1673 1787 3585 5019 5361 5975 8365 8935 12509 17925 25095 26805 37527 41825 44675 62545 125475 134025 187635 312725 427093 938175 1281279 2135465 2989651 6406395 8968953 10677325 14948255 32031975 44844765 74741275 224223825