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240530022300 = 223522945760497
BaseRepresentation
bin1110000000000010110…
…1001101111110011100
3211222211221200010220110
43200000231031332130
512420101141203200
6302255321050020
723243362312221
oct3400055157634
9758757603813
10240530022300
119300aa218a7
123a749026910
13198b31389a9
14b8dac1b948
1563cb754b50
hex3800b4df9c

240530022300 has 144 divisors (see below), whose sum is σ = 721518507360. Its totient is φ = 61793034240.

The previous prime is 240530022233. The next prime is 240530022353. The reversal of 240530022300 is 3220035042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3945652 + ... + 4006148.

It is an arithmetic number, because the mean of its divisors is an integer number (5010545190).

Almost surely, 2240530022300 is an apocalyptic number.

240530022300 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 240530022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360759253680).

240530022300 is an abundant number, since it is smaller than the sum of its proper divisors (480988485060).

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

240530022300 is a wasteful number, since it uses less digits than its factorization.

240530022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61000 (or 60993 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 240530022300 its reverse (3220035042), we get a palindrome (243750057342).

The spelling of 240530022300 in words is "two hundred forty billion, five hundred thirty million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 457 580 725 870 914 1371 1450 1740 1828 2175 2285 2742 2900 4350 4570 5484 6855 8700 9140 11425 13253 13710 22850 26506 27420 34275 39759 45700 53012 60497 66265 68550 79518 120994 132530 137100 159036 181491 198795 241988 265060 302485 331325 362982 397590 604970 662650 725964 795180 907455 993975 1209940 1325300 1512425 1754413 1814910 1987950 3024850 3508826 3629820 3975900 4537275 5263239 6049700 7017652 8772065 9074550 10526478 17544130 18149100 21052956 26316195 27647129 35088260 43860325 52632390 55294258 82941387 87720650 105264780 110588516 131580975 138235645 165882774 175441300 263161950 276471290 331765548 414706935 526323900 552942580 691178225 801766741 829413870 1382356450 1603533482 1658827740 2073534675 2405300223 2764712900 3207066964 4008833705 4147069350 4810600446 8017667410 8294138700 9621200892 12026501115 16035334820 20044168525 24053002230 40088337050 48106004460 60132505575 80176674100 120265011150 240530022300