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23313330 = 2325377001
BaseRepresentation
bin101100011101…
…1101110110010
31121212102212200
41120323232302
521432011310
62151404030
7402105615
oct130735662
947772780
1023313330
1112183717
127983616
134aa3591
14314c17c
1520a79c0
hex163bbb2

23313330 has 48 divisors (see below), whose sum is σ = 62261784. Its totient is φ = 6048000.

The previous prime is 23313299. The next prime is 23313331. The reversal of 23313330 is 3331332.

23313330 is a `hidden beast` number, since 2 + 331 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21594609 + 1718721 = 4647^2 + 1311^2 .

It is a super-2 number, since 2×233133302 = 1087022711377800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23313331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171 + ... + 6830.

Almost surely, 223313330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31130892).

23313330 is an abundant number, since it is smaller than the sum of its proper divisors (38948454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23313330 is a wasteful number, since it uses less digits than its factorization.

23313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 23313330 is about 4828.3879297339. The cubic root of 23313330 is about 285.6722818013.

Adding to 23313330 its reverse (3331332), we get a palindrome (26644662).

The spelling of 23313330 in words is "twenty-three million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 7001 14002 21003 35005 42006 63009 70010 105015 126018 210030 259037 315045 518074 630090 777111 1295185 1554222 2331333 2590370 3885555 4662666 7771110 11656665 23313330