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205212848 = 24171375507
BaseRepresentation
bin11000011101101…
…00110010110000
3112022010220002212
430032310302300
5410013302343
632210231252
75041165121
oct1416646260
9468126085
10205212848
11a59234a5
1258885528
1333690c29
141d37c048
1513038c18
hexc3b4cb0

205212848 has 40 divisors (see below), whose sum is σ = 424138032. Its totient is φ = 95848448.

The previous prime is 205212827. The next prime is 205212869. The reversal of 205212848 is 848212502.

It is an interprime number because it is at equal distance from previous prime (205212827) and next prime (205212869).

It is a super-2 number, since 2×2052128482 = 84224625968542208, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34511 + ... + 40017.

Almost surely, 2205212848 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 205212848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212069016).

205212848 is an abundant number, since it is smaller than the sum of its proper divisors (218925184).

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

205212848 is a wasteful number, since it uses less digits than its factorization.

205212848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 205212848 is about 14325.2521094744. The cubic root of 205212848 is about 589.8408533698.

The spelling of 205212848 in words is "two hundred five million, two hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 137 272 274 548 1096 2192 2329 4658 5507 9316 11014 18632 22028 37264 44056 88112 93619 187238 374476 748952 754459 1497904 1508918 3017836 6035672 12071344 12825803 25651606 51303212 102606424 205212848