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272213253 = 32133895981
BaseRepresentation
bin10000001110011…
…010010100000101
3200222012212101100
4100032122110011
51024141311003
643002250313
76513526434
oct2016322405
9628185340
10272213253
1112a725934
12771b6999
134451c340
142821d11b
1518d70ba3
hex1039a505

272213253 has 24 divisors (see below), whose sum is σ = 424602360. Its totient is φ = 167057280.

The previous prime is 272213239. The next prime is 272213269. The reversal of 272213253 is 352312272.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16916769 + 255296484 = 4113^2 + 15978^2 .

It is not a de Polignac number, because 272213253 - 26 = 272213189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272213203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42523 + ... + 48503.

It is an arithmetic number, because the mean of its divisors is an integer number (17691765).

Almost surely, 2272213253 is an apocalyptic number.

It is an amenable number.

272213253 is a deficient number, since it is larger than the sum of its proper divisors (152389107).

272213253 is a wasteful number, since it uses less digits than its factorization.

272213253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6386 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 272213253 is about 16498.8864169677. The cubic root of 272213253 is about 648.0916437030.

The spelling of 272213253 in words is "two hundred seventy-two million, two hundred thirteen thousand, two hundred fifty-three".

Divisors: 1 3 9 13 39 117 389 1167 3501 5057 5981 15171 17943 45513 53829 77753 233259 699777 2326609 6979827 20939481 30245917 90737751 272213253