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23230240 = 2551167197
BaseRepresentation
bin101100010011…
…1011100100000
31121201012220021
41120213130200
521421331430
62145523224
7401311435
oct130473440
947635807
1023230240
1112127250
127943514
134a74807
143129b8c
15208d07a
hex1627720

23230240 has 96 divisors (see below), whose sum is σ = 61072704. Its totient is φ = 8279040.

The previous prime is 23230237. The next prime is 23230243. The reversal of 23230240 is 4203232.

It is an interprime number because it is at equal distance from previous prime (23230237) and next prime (23230243).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23230243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117822 + ... + 118018.

It is an arithmetic number, because the mean of its divisors is an integer number (636174).

Almost surely, 223230240 is an apocalyptic number.

23230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30536352).

23230240 is an abundant number, since it is smaller than the sum of its proper divisors (37842464).

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

23230240 is a wasteful number, since it uses less digits than its factorization.

23230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 23230240 is about 4819.7759284017. The cubic root of 23230240 is about 285.3324938592.

Adding to 23230240 its reverse (4203232), we get a palindrome (27433472).

The spelling of 23230240 in words is "twenty-three million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 67 80 88 110 134 160 176 197 220 268 335 352 394 440 536 670 737 788 880 985 1072 1340 1474 1576 1760 1970 2144 2167 2680 2948 3152 3685 3940 4334 5360 5896 6304 7370 7880 8668 10720 10835 11792 13199 14740 15760 17336 21670 23584 26398 29480 31520 34672 43340 52796 58960 65995 69344 86680 105592 117920 131990 145189 173360 211184 263980 290378 346720 422368 527960 580756 725945 1055920 1161512 1451890 2111840 2323024 2903780 4646048 5807560 11615120 23230240