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23245536 = 2533173107
BaseRepresentation
bin101100010101…
…1001011100000
31121201222212210
41120223023200
521422324121
62150122120
7401404146
oct130531340
947658783
1023245536
1112137796
127950340
134a7b772
143131596
152092876
hex162b2e0

23245536 has 96 divisors (see below), whose sum is σ = 64447488. Its totient is φ = 7326720.

The previous prime is 23245529. The next prime is 23245553. The reversal of 23245536 is 63554232.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (21600) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

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, 217195 + ... + 217301.

It is an arithmetic number, because the mean of its divisors is an integer number (671328).

Almost surely, 223245536 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 23245536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32223744).

23245536 is an abundant number, since it is smaller than the sum of its proper divisors (41201952).

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

23245536 is a wasteful number, since it uses less digits than its factorization.

23245536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 23245536 is about 4821.3624630388. The cubic root of 23245536 is about 285.3951060442.

Adding to 23245536 its reverse (63554232), we get a palindrome (86799768).

The spelling of 23245536 in words is "twenty-three million, two hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 73 93 96 107 124 146 186 214 219 248 292 321 372 428 438 496 584 642 744 856 876 992 1168 1284 1488 1712 1752 2263 2336 2568 2976 3317 3424 3504 4526 5136 6634 6789 7008 7811 9052 9951 10272 13268 13578 15622 18104 19902 23433 26536 27156 31244 36208 39804 46866 53072 54312 62488 72416 79608 93732 106144 108624 124976 159216 187464 217248 242141 249952 318432 374928 484282 726423 749856 968564 1452846 1937128 2905692 3874256 5811384 7748512 11622768 23245536