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23242000 = 245311621
BaseRepresentation
bin101100010101…
…0010100010000
31121201211000211
41120222110100
521422221000
62150053504
7401360635
oct130522420
947654024
1023242000
1112135071
12794a294
134a79c82
14313018c
1520917ba
hex162a510

23242000 has 40 divisors (see below), whose sum is σ = 56203992. Its totient is φ = 9296000.

The previous prime is 23241991. The next prime is 23242001. The reversal of 23242000 is 24232.

It can be written as a sum of positive squares in 4 ways, for example, as 4717584 + 18524416 = 2172^2 + 4304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (23242001) 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, 3811 + ... + 7810.

Almost surely, 223242000 is an apocalyptic number.

23242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23242000 is an abundant number, since it is smaller than the sum of its proper divisors (32961992).

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

23242000 is a wasteful number, since it uses less digits than its factorization.

23242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644 (or 11628 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 23242000 is about 4820.9957477683. The cubic root of 23242000 is about 285.3806343298.

Adding to 23242000 its reverse (24232), we get a palindrome (23266232).

The spelling of 23242000 in words is "twenty-three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11621 23242 46484 58105 92968 116210 185936 232420 290525 464840 581050 929680 1162100 1452625 2324200 2905250 4648400 5810500 11621000 23242000