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23224464 = 2432161281
BaseRepresentation
bin101100010011…
…0000010010000
31121200220222100
41120212002100
521421140324
62145440400
7401255544
oct130460220
947626870
1023224464
111212297a
127940100
134a71cb3
143127a24
15208b4c9
hex1626090

23224464 has 30 divisors (see below), whose sum is σ = 64996646. Its totient is φ = 7741440.

The previous prime is 23224463. The next prime is 23224471. The reversal of 23224464 is 46442232.

It can be written as a sum of positive squares in only one way, i.e., 18558864 + 4665600 = 4308^2 + 2160^2 .

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

It is not an unprimeable number, because it can be changed into a prime (23224463) 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, 80497 + ... + 80784.

Almost surely, 223224464 is an apocalyptic number.

23224464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23224464 is an abundant number, since it is smaller than the sum of its proper divisors (41772182).

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

23224464 is a wasteful number, since it uses less digits than its factorization.

23224464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161295 (or 161286 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 23224464 is about 4819.1766931707. The cubic root of 23224464 is about 285.3088434062.

Adding to 23224464 its reverse (46442232), we get a palindrome (69666696).

It can be divided in two parts, 2322 and 4464, that added together give a triangular number (6786 = T116).

The spelling of 23224464 in words is "twenty-three million, two hundred twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 161281 322562 483843 645124 967686 1290248 1451529 1935372 2580496 2903058 3870744 5806116 7741488 11612232 23224464