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23232231200 = 255283439797
BaseRepresentation
bin10101101000101111…
…111011011100100000
32012222002112121220102
4111220233323130200
5340034422344300
614401151201532
71451500464323
oct255057733440
965862477812
1023232231200
119941a97182
1246045162a8
13226321cb89
1411a56a07ba
1590e8d40d5
hex568bfb720

23232231200 has 144 divisors (see below), whose sum is σ = 57601938240. Its totient is φ = 9148523520.

The previous prime is 23232231193. The next prime is 23232231223. The reversal of 23232231200 is 213223232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29149202 + ... + 29149998.

It is an arithmetic number, because the mean of its divisors is an integer number (400013460).

Almost surely, 223232231200 is an apocalyptic number.

23232231200 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 23232231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28800969120).

23232231200 is an abundant number, since it is smaller than the sum of its proper divisors (34369707040).

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

23232231200 is a wasteful number, since it uses less digits than its factorization.

23232231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23232231200 its reverse (213223232), we get a palindrome (23445454432).

The spelling of 23232231200 in words is "twenty-three billion, two hundred thirty-two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 400 415 439 664 797 800 830 878 1328 1594 1660 1756 2075 2195 2656 3188 3320 3512 3985 4150 4390 6376 6640 7024 7970 8300 8780 10975 12752 13280 14048 15940 16600 17560 19925 21950 25504 31880 33200 35120 36437 39850 43900 63760 66151 66400 70240 72874 79700 87800 127520 132302 145748 159400 175600 182185 264604 291496 318800 330755 349883 351200 364370 529208 582992 637600 661510 699766 728740 910925 1058416 1165984 1323020 1399532 1457480 1653775 1749415 1821850 2116832 2646040 2799064 2914960 3307550 3498830 3643700 5292080 5598128 5829920 6615100 6997660 7287400 8747075 10584160 11196256 13230200 13995320 14574800 17494150 26460400 27990640 29040289 29149600 34988300 52920800 55981280 58080578 69976600 116161156 139953200 145201445 232322312 279906400 290402890 464644624 580805780 726007225 929289248 1161611560 1452014450 2323223120 2904028900 4646446240 5808057800 11616115600 23232231200