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23582133 = 322990353
BaseRepresentation
bin101100111110…
…1010110110101
31122101002121100
41121331112311
522014112013
62201240313
7404305401
oct131752665
948332540
1023582133
1112347673
127a93099
134b68a33
1431bc101
15210c473
hex167d5b5

23582133 has 12 divisors (see below), whose sum is σ = 35238060. Its totient is φ = 15179136.

The previous prime is 23582131. The next prime is 23582137. The reversal of 23582133 is 33128532.

It can be written as a sum of positive squares in 2 ways, for example, as 4028049 + 19554084 = 2007^2 + 4422^2 .

It is not a de Polignac number, because 23582133 - 21 = 23582131 is a prime.

It is a super-2 number, since 2×235821332 = 1112233993659378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23582097 and 23582106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23582131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44916 + ... + 45437.

It is an arithmetic number, because the mean of its divisors is an integer number (2936505).

Almost surely, 223582133 is an apocalyptic number.

It is an amenable number.

23582133 is a deficient number, since it is larger than the sum of its proper divisors (11655927).

23582133 is a wasteful number, since it uses less digits than its factorization.

23582133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90388 (or 90385 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 23582133 is about 4856.1438405385. The cubic root of 23582133 is about 286.7660239392.

The spelling of 23582133 in words is "twenty-three million, five hundred eighty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 261 90353 271059 813177 2620237 7860711 23582133