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23204441120 = 255736756453
BaseRepresentation
bin10101100111000101…
…111010110000100000
32012220011020202002012
4111213011322300200
5340010314103440
614354315412052
71451012331560
oct254705726040
965804222065
1023204441120
119928336073
1245b7154028
13225a53ca43
1411a1b08da0
1590c244e65
hex56717ac20

23204441120 has 96 divisors (see below), whose sum is σ = 62823817728. Its totient is φ = 7933989888.

The previous prime is 23204441107. The next prime is 23204441179. The reversal of 23204441120 is 2114440232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382814 + ... + 439266.

It is an arithmetic number, because the mean of its divisors is an integer number (654414768).

Almost surely, 223204441120 is an apocalyptic number.

23204441120 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 23204441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31411908864).

23204441120 is an abundant number, since it is smaller than the sum of its proper divisors (39619376608).

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

23204441120 is a wasteful number, since it uses less digits than its factorization.

23204441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56842 (or 56834 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 23204441120 its reverse (2114440232), we get a palindrome (25318881352).

The spelling of 23204441120 in words is "twenty-three billion, two hundred four million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 367 560 734 1120 1468 1835 2569 2936 3670 5138 5872 7340 10276 11744 12845 14680 20552 25690 29360 41104 51380 56453 58720 82208 102760 112906 205520 225812 282265 395171 411040 451624 564530 790342 903248 1129060 1580684 1806496 1975855 2258120 3161368 3951710 4516240 6322736 7903420 9032480 12645472 15806840 20718251 31613680 41436502 63227360 82873004 103591255 145027757 165746008 207182510 290055514 331492016 414365020 580111028 662984032 725138785 828730040 1160222056 1450277570 1657460080 2320444112 2900555140 3314920160 4640888224 5801110280 11602220560 23204441120