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23104400 = 2452115989
BaseRepresentation
bin101100000100…
…0101110010000
31121110211021112
41120020232100
521403320100
62143112452
7400245524
oct130105620
947424245
1023104400
1112050750
1278a2728
134a2c457
1430d5d84
152065b35
hex1608b90

23104400 has 120 divisors (see below), whose sum is σ = 62272800. Its totient is φ = 8166400.

The previous prime is 23104381. The next prime is 23104409. The reversal of 23104400 is 440132.

It is not an unprimeable number, because it can be changed into a prime (23104409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259556 + ... + 259644.

It is an arithmetic number, because the mean of its divisors is an integer number (518940).

Almost surely, 223104400 is an apocalyptic number.

23104400 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 23104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31136400).

23104400 is an abundant number, since it is smaller than the sum of its proper divisors (39168400).

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

23104400 is a wasteful number, since it uses less digits than its factorization.

23104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23104400 is about 4806.7036521924. The cubic root of 23104400 is about 284.8163380140.

Adding to 23104400 its reverse (440132), we get a palindrome (23544532).

It can be divided in two parts, 23104 and 400, that multiplied together give a square (9241600 = 30402).

The spelling of 23104400 in words is "twenty-three million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 59 80 88 89 100 110 118 176 178 200 220 236 275 295 356 400 440 445 472 550 590 649 712 880 890 944 979 1100 1180 1298 1424 1475 1780 1958 2200 2225 2360 2596 2950 3245 3560 3916 4400 4450 4720 4895 5192 5251 5900 6490 7120 7832 8900 9790 10384 10502 11800 12980 15664 16225 17800 19580 21004 23600 24475 25960 26255 32450 35600 39160 42008 48950 51920 52510 57761 64900 78320 84016 97900 105020 115522 129800 131275 195800 210040 231044 259600 262550 288805 391600 420080 462088 525100 577610 924176 1050200 1155220 1444025 2100400 2310440 2888050 4620880 5776100 11552200 23104400