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23016448 = 210713219
BaseRepresentation
bin101011111001…
…1010000000000
31121022100122001
41113303100000
521343011243
62141153344
7366431230
oct127632000
947270561
1023016448
1111aa0664
12785b854
1349cb400
1430b1cc0
152049a4d
hex15f3400

23016448 has 132 divisors (see below), whose sum is σ = 59936160. Its totient is φ = 8626176.

The previous prime is 23016437. The next prime is 23016463. The reversal of 23016448 is 84461032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1211383 + ... + 1211401.

Almost surely, 223016448 is an apocalyptic number.

23016448 is a gapful number since it is divisible by the number (28) 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 23016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29968080).

23016448 is an abundant number, since it is smaller than the sum of its proper divisors (36919712).

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

23016448 is a wasteful number, since it uses less digits than its factorization.

23016448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 23016448 is about 4797.5460393831. The cubic root of 23016448 is about 284.4544730261.

The spelling of 23016448 in words is "twenty-three million, sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 169 182 208 224 247 256 266 304 338 364 416 448 494 512 532 608 676 728 832 896 988 1024 1064 1183 1216 1352 1456 1664 1729 1792 1976 2128 2366 2432 2704 2912 3211 3328 3458 3584 3952 4256 4732 4864 5408 5824 6422 6656 6916 7168 7904 8512 9464 9728 10816 11648 12844 13312 13832 15808 17024 18928 19456 21632 22477 23296 25688 27664 31616 34048 37856 43264 44954 46592 51376 55328 63232 68096 75712 86528 89908 93184 102752 110656 126464 136192 151424 173056 179816 205504 221312 252928 302848 359632 411008 442624 605696 719264 822016 885248 1211392 1438528 1644032 1770496 2877056 3288064 5754112 11508224 23016448