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23300311200 = 2535246720789
BaseRepresentation
bin10101101100110011…
…101000100010100000
32020010211122110002220
4111230303220202200
5340204334424300
614412022311040
71453255243305
oct255463504240
966124573086
1023300311200
119977466741
124623288480
1322743687ba
1411b07430ac
15915880da0
hex56cce88a0

23300311200 has 144 divisors (see below), whose sum is σ = 76008572640. Its totient is φ = 6199813120.

The previous prime is 23300311183. The next prime is 23300311267. The reversal of 23300311200 is 211300332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23300311200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110406 + ... + 1131194.

It is an arithmetic number, because the mean of its divisors is an integer number (527837310).

Almost surely, 223300311200 is an apocalyptic number.

23300311200 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 23300311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38004286320).

23300311200 is an abundant number, since it is smaller than the sum of its proper divisors (52708261440).

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

23300311200 is a wasteful number, since it uses less digits than its factorization.

23300311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21279 (or 21266 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23300311200 its reverse (211300332), we get a palindrome (23511611532).

The spelling of 23300311200 in words is "twenty-three billion, three hundred million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 467 480 600 800 934 1200 1401 1868 2335 2400 2802 3736 4670 5604 7005 7472 9340 11208 11675 14010 14944 18680 20789 22416 23350 28020 35025 37360 41578 44832 46700 56040 62367 70050 74720 83156 93400 103945 112080 124734 140100 166312 186800 207890 224160 249468 280200 311835 332624 373600 415780 498936 519725 560400 623670 665248 831560 997872 1039450 1120800 1247340 1559175 1663120 1995744 2078900 2494680 3118350 3326240 4157800 4989360 6236700 8315600 9708463 9978720 12473400 16631200 19416926 24946800 29125389 38833852 48542315 49893600 58250778 77667704 97084630 116501556 145626945 155335408 194169260 233003112 242711575 291253890 310670816 388338520 466006224 485423150 582507780 728134725 776677040 932012448 970846300 1165015560 1456269450 1553354080 1941692600 2330031120 2912538900 3883385200 4660062240 5825077800 7766770400 11650155600 23300311200