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253217997 = 32193494243
BaseRepresentation
bin11110001011111…
…00110011001101
3122122110210210100
433011330303031
51004310433442
641043201313
76163213614
oct1705746315
9578423710
10253217997
1111aa3147a
1270976239
13405cb346
14258b687b
151736c84c
hexf17cccd

253217997 has 24 divisors (see below), whose sum is σ = 386204000. Its totient is φ = 159431328.

The previous prime is 253217969. The next prime is 253218001. The reversal of 253217997 is 799712352.

It is not a de Polignac number, because 253217997 - 26 = 253217933 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253217917) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57558 + ... + 61800.

Almost surely, 2253217997 is an apocalyptic number.

It is an amenable number.

253217997 is a deficient number, since it is larger than the sum of its proper divisors (132986003).

253217997 is a wasteful number, since it uses less digits than its factorization.

253217997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4614 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 253217997 is about 15912.8249220558. The cubic root of 253217997 is about 632.6519578442.

The spelling of 253217997 in words is "two hundred fifty-three million, two hundred seventeen thousand, nine hundred ninety-seven".

Divisors: 1 3 9 19 57 171 349 1047 3141 4243 6631 12729 19893 38187 59679 80617 241851 725553 1480807 4442421 13327263 28135333 84405999 253217997