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23023616 = 21271173
BaseRepresentation
bin101011111010…
…1000000000000
31121022201110112
41113311000000
521343223431
62141250452
7366461150
oct127650000
947281415
1023023616
1111aa5a90
127863a28
134a01755
1430b4760
15204bc2b
hex15f5000

23023616 has 104 divisors (see below), whose sum is σ = 58188864. Its totient is φ = 8847360.

The previous prime is 23023613. The next prime is 23023633. The reversal of 23023616 is 61632032.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 23023591 and 23023600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023613) 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, 315356 + ... + 315428.

Almost surely, 223023616 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 23023616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29094432).

23023616 is an abundant number, since it is smaller than the sum of its proper divisors (35165248).

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

23023616 is an equidigital number, since it uses as much as digits as its factorization.

23023616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 23023616 is about 4798.2930298180. The cubic root of 23023616 is about 284.4839991289.

Adding to 23023616 its reverse (61632032), we get a palindrome (84655648).

The spelling of 23023616 in words is "twenty-three million, twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 73 77 88 112 128 146 154 176 224 256 292 308 352 448 511 512 584 616 704 803 896 1022 1024 1168 1232 1408 1606 1792 2044 2048 2336 2464 2816 3212 3584 4088 4096 4672 4928 5621 5632 6424 7168 8176 9344 9856 11242 11264 12848 14336 16352 18688 19712 22484 22528 25696 28672 32704 37376 39424 44968 45056 51392 65408 74752 78848 89936 102784 130816 149504 157696 179872 205568 261632 299008 315392 359744 411136 523264 719488 822272 1046528 1438976 1644544 2093056 2877952 3289088 5755904 11511808 23023616