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23133409 = 1331137419
BaseRepresentation
bin101100000111…
…1110011100001
31121112022001221
41120033303201
521410232114
62143455041
7400426225
oct130176341
947468057
1023133409
1112070522
1278b7481
134a3c710
143102785
15206e524
hex160fce1

23133409 has 16 divisors (see below), whose sum is σ = 25966080. Its totient is φ = 20465280.

The previous prime is 23133403. The next prime is 23133419. The reversal of 23133409 is 90433132.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 23133409 - 219 = 22609121 is a prime.

It is a super-2 number, since 2×231334092 = 1070309223922562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23133403) 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, 55002 + ... + 55420.

It is an arithmetic number, because the mean of its divisors is an integer number (1622880).

Almost surely, 223133409 is an apocalyptic number.

It is an amenable number.

23133409 is a deficient number, since it is larger than the sum of its proper divisors (2832671).

23133409 is a wasteful number, since it uses less digits than its factorization.

23133409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 23133409 is about 4809.7202621358. The cubic root of 23133409 is about 284.9354896568.

The spelling of 23133409 in words is "twenty-three million, one hundred thirty-three thousand, four hundred nine".

Divisors: 1 13 31 137 403 419 1781 4247 5447 12989 55211 57403 168857 746239 1779493 23133409