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202344023000 = 23537285110139
BaseRepresentation
bin1011110001110010100…
…1001100001111011000
3201100021200222101120002
42330130221030033120
511303400032214000
6232542222352132
720422162550210
oct2743451141730
9640250871502
10202344023000
11788a4a20399
123327072b648
1316108b39032
149b1752d240
1553e413e8d5
hex2f1ca4c3d8

202344023000 has 128 divisors (see below), whose sum is σ = 541368921600. Its totient is φ = 69343920000.

The previous prime is 202344022943. The next prime is 202344023003. The reversal of 202344023000 is 320443202.

202344023000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202344023003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19951931 + ... + 19962069.

It is an arithmetic number, because the mean of its divisors is an integer number (4229444700).

Almost surely, 2202344023000 is an apocalyptic number.

202344023000 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 202344023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270684460800).

202344023000 is an abundant number, since it is smaller than the sum of its proper divisors (339024898600).

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

202344023000 is a wasteful number, since it uses less digits than its factorization.

202344023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018 (or 13004 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 202344023000 its reverse (320443202), we get a palindrome (202664466202).

The spelling of 202344023000 in words is "two hundred two billion, three hundred forty-four million, twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2851 3500 5702 7000 10139 11404 14255 19957 20278 22808 28510 39914 40556 50695 57020 70973 71275 79828 81112 99785 101390 114040 141946 142550 159656 199570 202780 253475 283892 285100 354865 356375 399140 405560 498925 506950 567784 570200 709730 712750 798280 997850 1013900 1267375 1419460 1425500 1774325 1995700 2027800 2494625 2534750 2838920 2851000 3548650 3991400 4989250 5069500 7097300 8871625 9978500 10139000 14194600 17743250 19957000 28906289 35486500 57812578 70973000 115625156 144531445 202344023 231250312 289062890 404688046 578125780 722657225 809376092 1011720115 1156251560 1445314450 1618752184 2023440230 2890628900 3613286125 4046880460 5058600575 5781257800 7226572250 8093760920 10117201150 14453144500 20234402300 25293002875 28906289000 40468804600 50586005750 101172011500 202344023000