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23230032 = 2437471471
BaseRepresentation
bin101100010011…
…1011001010000
31121201012121120
41120213121100
521421330112
62145522240
7401311020
oct130473120
947635546
1023230032
1112127081
127943380
134a746a7
143129a80
15208ce8c
hex1627650

23230032 has 80 divisors (see below), whose sum is σ = 70090752. Its totient is φ = 6491520.

The previous prime is 23229967. The next prime is 23230037. The reversal of 23230032 is 23003232.

It is a junction number, because it is equal to n+sod(n) for n = 23229993 and 23230020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23230037) 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, 15057 + ... + 16527.

Almost surely, 223230032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35045376).

23230032 is an abundant number, since it is smaller than the sum of its proper divisors (46860720).

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

23230032 is a wasteful number, since it uses less digits than its factorization.

23230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 23230032 is about 4819.7543505868. The cubic root of 23230032 is about 285.3316422489.

Adding to 23230032 its reverse (23003232), we get a palindrome (46233264).

The spelling of 23230032 in words is "twenty-three million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1471 1974 2256 2632 2942 3948 4413 5264 5884 7896 8826 10297 11768 15792 17652 20594 23536 30891 35304 41188 61782 69137 70608 82376 123564 138274 164752 207411 247128 276548 414822 483959 494256 553096 829644 967918 1106192 1451877 1659288 1935836 2903754 3318576 3871672 5807508 7743344 11615016 23230032