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225000244524 = 223113154985397
BaseRepresentation
bin1101000110001100001…
…1110100010100101100
3210111202122122200201210
43101203003310110230
512141300030311044
6251210320034420
722153500344166
oct3214303642454
9714678580653
10225000244524
1187470854a10
1237734162a10
13182a990ca83
14ac664cd936
155cbd1941b9
hex34630f452c

225000244524 has 48 divisors (see below), whose sum is σ = 591202999296. Its totient is φ = 65982475200.

The previous prime is 225000244507. The next prime is 225000244531. The reversal of 225000244524 is 425442000522.

225000244524 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2250002445242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225000244491 and 225000244500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27488607 + ... + 27496790.

It is an arithmetic number, because the mean of its divisors is an integer number (12316729152).

Almost surely, 2225000244524 is an apocalyptic number.

It is an amenable number.

225000244524 is an abundant number, since it is smaller than the sum of its proper divisors (366202754772).

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

225000244524 is a wasteful number, since it uses less digits than its factorization.

225000244524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54985446 (or 54985444 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The spelling of 225000244524 in words is "two hundred twenty-five billion, two hundred forty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 54985397 109970794 164956191 219941588 329912382 604839367 659824764 1209678734 1704547307 1814518101 2419357468 3409094614 3629036202 5113641921 6818189228 7258072404 10227283842 18750020377 20454567684 37500040754 56250061131 75000081508 112500122262 225000244524