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23213664 = 253280603
BaseRepresentation
bin101100010001…
…1011001100000
31121200101011100
41120203121200
521420314124
62145314400
7401212215
oct130433140
947611140
1023213664
1112115851
127935a00
134a6a0c6
143123b0c
1520881c9
hex1623660

23213664 has 36 divisors (see below), whose sum is σ = 66014676. Its totient is φ = 7737792.

The previous prime is 23213657. The next prime is 23213669. The reversal of 23213664 is 46631232.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40014 + ... + 40589.

It is an arithmetic number, because the mean of its divisors is an integer number (1833741).

Almost surely, 223213664 is an apocalyptic number.

23213664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23213664 is an abundant number, since it is smaller than the sum of its proper divisors (42801012).

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

23213664 is a wasteful number, since it uses less digits than its factorization.

23213664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80619 (or 80608 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 23213664 is about 4818.0560395247. The cubic root of 23213664 is about 285.2646111221.

Adding to 23213664 its reverse (46631232), we get a palindrome (69844896).

The spelling of 23213664 in words is "twenty-three million, two hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 80603 161206 241809 322412 483618 644824 725427 967236 1289648 1450854 1934472 2579296 2901708 3868944 5803416 7737888 11606832 23213664