Search a number
-
+
23047150800 = 24352131914561
BaseRepresentation
bin10101011101101101…
…111001110011010000
32012111012021120022210
4111131231321303100
5334200032311200
614330540232120
71444062356322
oct253555716320
965435246283
1023047150800
119857574573
12457253b640
132233a8a74b
141188c83612
158ed525650
hex55db79cd0

23047150800 has 120 divisors (see below), whose sum is σ = 73888752960. Its totient is φ = 6140825600.

The previous prime is 23047150799. The next prime is 23047150837. The reversal of 23047150800 is 805174032.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1575520 + ... + 1590080.

It is an arithmetic number, because the mean of its divisors is an integer number (615739608).

Almost surely, 223047150800 is an apocalyptic number.

23047150800 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 23047150800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36944376480).

23047150800 is an abundant number, since it is smaller than the sum of its proper divisors (50841602160).

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

23047150800 is a wasteful number, since it uses less digits than its factorization.

23047150800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15901 (or 15890 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 23047150800 in words is "twenty-three billion, forty-seven million, one hundred fifty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1319 2638 3957 5276 6595 7914 10552 13190 14561 15828 19785 21104 26380 29122 31656 32975 39570 43683 52760 58244 63312 65950 72805 79140 87366 98925 105520 116488 131900 145610 158280 174732 197850 218415 232976 263800 291220 316560 349464 364025 395700 436830 527600 582440 698928 728050 791400 873660 1092075 1164880 1456100 1582800 1747320 2184150 2912200 3494640 4368300 5824400 8736600 17473200 19205959 38411918 57617877 76823836 96029795 115235754 153647672 192059590 230471508 288089385 307295344 384119180 460943016 480148975 576178770 768238360 921886032 960297950 1152357540 1440446925 1536476720 1920595900 2304715080 2880893850 3841191800 4609430160 5761787700 7682383600 11523575400 23047150800