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23200848 = 24321197151
BaseRepresentation
bin101100010000…
…0010001010000
31121122201120200
41120200101100
521414411343
62145135200
7401126646
oct130402120
947581520
1023200848
1112107160
12792a500
134a64318
14311d196
1520844d3
hex1620450

23200848 has 120 divisors (see below), whose sum is σ = 72037056. Its totient is φ = 6912000.

The previous prime is 23200847. The next prime is 23200861. The reversal of 23200848 is 84800232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153573 + ... + 153723.

Almost surely, 223200848 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 23200848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36018528).

23200848 is an abundant number, since it is smaller than the sum of its proper divisors (48836208).

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

23200848 is a wasteful number, since it uses less digits than its factorization.

23200848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23200848 is about 4816.7258589212. The cubic root of 23200848 is about 285.2121043419.

The spelling of 23200848 in words is "twenty-three million, two hundred thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 97 99 132 144 151 176 194 198 264 291 302 388 396 453 528 582 604 776 792 873 906 1067 1164 1208 1359 1552 1584 1661 1746 1812 2134 2328 2416 2718 3201 3322 3492 3624 4268 4656 4983 5436 6402 6644 6984 7248 8536 9603 9966 10872 12804 13288 13968 14647 14949 17072 19206 19932 21744 25608 26576 29294 29898 38412 39864 43941 51216 58588 59796 76824 79728 87882 117176 119592 131823 153648 161117 175764 234352 239184 263646 322234 351528 483351 527292 644468 703056 966702 1054584 1288936 1450053 1933404 2109168 2577872 2900106 3866808 5800212 7733616 11600424 23200848