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252333333 = 3377318289
BaseRepresentation
bin11110000101001…
…00110100010101
3122120210212021000
433002210310111
51004044131313
641012213513
76152540460
oct1702446425
9576725230
10252333333
1111a48784a
127060a299
134037b785
14257262d7
1517245673
hexf0a4d15

252333333 has 32 divisors (see below), whose sum is σ = 433107200. Its totient is φ = 142207488.

The previous prime is 252333317. The next prime is 252333337. The reversal of 252333333 is 333333252.

It is not a de Polignac number, because 252333333 - 24 = 252333317 is a prime.

It is a super-2 number, since 2×2523333332 = 127344221885777778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

252333333 is a modest number, since divided by 33333 gives 2523 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 252333297 and 252333306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252333337) 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, 4653 + ... + 22941.

It is an arithmetic number, because the mean of its divisors is an integer number (13534600).

Almost surely, 2252333333 is an apocalyptic number.

It is an amenable number.

252333333 is a deficient number, since it is larger than the sum of its proper divisors (180773867).

252333333 is a wasteful number, since it uses less digits than its factorization.

252333333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18378 (or 18372 counting only the distinct ones).

The product of its digits is 14580, while the sum is 27.

The square root of 252333333 is about 15885.0033994331. The cubic root of 252333333 is about 631.9143358829.

Adding to 252333333 its reverse (333333252), we get a palindrome (585666585).

The spelling of 252333333 in words is "two hundred fifty-two million, three hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 73 189 219 511 657 1533 1971 4599 13797 18289 54867 128023 164601 384069 493803 1152207 1335097 3456621 4005291 9345679 12015873 28037037 36047619 84111111 252333333