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23006821 = 611372753
BaseRepresentation
bin101011111000…
…0111001100101
31121021212102111
41113300321211
521342204241
62141041021
7366361165
oct127607145
947255374
1023006821
1111a94402
127856171
1349c6c06
1430ac5a5
152046c81
hex15f0e65

23006821 has 8 divisors (see below), whose sum is σ = 23563224. Its totient is φ = 22456320.

The previous prime is 23006803. The next prime is 23006827. The reversal of 23006821 is 12860032.

It can be written as a sum of positive squares in 4 ways, for example, as 3381921 + 19624900 = 1839^2 + 4430^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23006821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23006792 and 23006801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23006827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6981 + ... + 9733.

It is an arithmetic number, because the mean of its divisors is an integer number (2945403).

Almost surely, 223006821 is an apocalyptic number.

It is an amenable number.

23006821 is a deficient number, since it is larger than the sum of its proper divisors (556403).

23006821 is a wasteful number, since it uses less digits than its factorization.

23006821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 23006821 is about 4796.5426090049. The cubic root of 23006821 is about 284.4148082741.

Adding to 23006821 its reverse (12860032), we get a palindrome (35866853).

The spelling of 23006821 in words is "twenty-three million, six thousand, eight hundred twenty-one".

Divisors: 1 61 137 2753 8357 167933 377161 23006821