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252218681 = 1113173359
BaseRepresentation
bin11110000100010…
…00110100111001
3122120121000222122
433002020310321
51004031444211
641005531025
76151552301
oct1702106471
9576530878
10252218681
1111a4096a0
1270573a75
134033b530
14256d6601
15172216db
hexf088d39

252218681 has 32 divisors (see below), whose sum is σ = 315705600. Its totient is φ = 198647040.

The previous prime is 252218671. The next prime is 252218689. The reversal of 252218681 is 186812252.

It is a happy number.

It is not a de Polignac number, because 252218681 - 214 = 252202297 is a prime.

It is a super-2 number, since 2×2522186812 = 127228526090759522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252218689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 702380 + ... + 702738.

It is an arithmetic number, because the mean of its divisors is an integer number (9865800).

Almost surely, 2252218681 is an apocalyptic number.

It is an amenable number.

252218681 is a deficient number, since it is larger than the sum of its proper divisors (63486919).

252218681 is a wasteful number, since it uses less digits than its factorization.

252218681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 400 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 252218681 is about 15881.3941768347. The cubic root of 252218681 is about 631.8186143264.

The spelling of 252218681 in words is "two hundred fifty-two million, two hundred eighteen thousand, six hundred eighty-one".

Divisors: 1 11 13 17 143 187 221 289 359 2431 3179 3757 3949 4667 4913 6103 41327 51337 54043 63869 67133 79339 103751 702559 872729 1141261 1348763 1763767 14836393 19401437 22928971 252218681