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227752993 = 13971091657
BaseRepresentation
bin11011001001100…
…11110000100001
3120212120001101001
431210303300201
5431301043433
634333312001
75433603616
oct1544636041
9525501331
10227752993
11107619216
1264335601
13382535b0
142236850d
1514edc57d
hexd933c21

227752993 has 16 divisors (see below), whose sum is σ = 250225360. Its totient is φ = 206032896.

The previous prime is 227752957. The next prime is 227752997. The reversal of 227752993 is 399257722.

It can be written as a sum of positive squares in 8 ways, for example, as 10131489 + 217621504 = 3183^2 + 14752^2 .

It is a 3-Lehmer number, since φ(227752993) divides (227752993-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 227752993 - 217 = 227621921 is a prime.

It is a deceptive number, since it divides R227752992.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (227752997) 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 15 ways as a sum of consecutive naturals, for example, 136621 + ... + 138277.

It is an arithmetic number, because the mean of its divisors is an integer number (15639085).

It is a Poulet number, since it divides 2227752992-1.

Almost surely, 2227752993 is an apocalyptic number.

It is an amenable number.

227752993 is a deficient number, since it is larger than the sum of its proper divisors (22472367).

227752993 is a wasteful number, since it uses less digits than its factorization.

227752993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876.

The product of its digits is 476280, while the sum is 46.

The square root of 227752993 is about 15091.4874349747. The cubic root of 227752993 is about 610.6907815395.

The spelling of 227752993 in words is "two hundred twenty-seven million, seven hundred fifty-two thousand, nine hundred ninety-three".

Divisors: 1 13 97 109 1261 1417 1657 10573 21541 137449 160729 180613 2089477 2347969 17519461 227752993