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23048200 = 23527101163
BaseRepresentation
bin101011111101…
…1000000001000
31121100222012001
41113323000020
521400020300
62142000344
7366622630
oct127730010
947328161
1023048200
11120124aa
1278760b4
134a0c9b6
1430bd6c0
15205416a
hex15fb008

23048200 has 96 divisors (see below), whose sum is σ = 62228160. Its totient is φ = 7776000.

The previous prime is 23048183. The next prime is 23048203. The reversal of 23048200 is 284032.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23048203) 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 23 ways as a sum of consecutive naturals, for example, 141319 + ... + 141481.

It is an arithmetic number, because the mean of its divisors is an integer number (648210).

Almost surely, 223048200 is an apocalyptic number.

23048200 is a gapful number since it is divisible by the number (20) 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 23048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31114080).

23048200 is an abundant number, since it is smaller than the sum of its proper divisors (39179960).

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

23048200 is a wasteful number, since it uses less digits than its factorization.

23048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 23048200 is about 4800.8540906801. The cubic root of 23048200 is about 284.5852179074.

The spelling of 23048200 in words is "twenty-three million, forty-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 163 175 200 202 280 326 350 404 505 652 700 707 808 815 1010 1141 1304 1400 1414 1630 2020 2282 2525 2828 3260 3535 4040 4075 4564 5050 5656 5705 6520 7070 8150 9128 10100 11410 14140 16300 16463 17675 20200 22820 28280 28525 32600 32926 35350 45640 57050 65852 70700 82315 114100 115241 131704 141400 164630 228200 230482 329260 411575 460964 576205 658520 823150 921928 1152410 1646300 2304820 2881025 3292600 4609640 5762050 11524100 23048200