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242466600 = 233521921269
BaseRepresentation
bin11100111001110…
…11111100101000
3121220020120122110
432130323330220
5444032412400
640020522320
76002634465
oct1634737450
9556216573
10242466600
11114958822
12692503a0
133b30577c
14242b866c
1516446e50
hexe73bf28

242466600 has 96 divisors (see below), whose sum is σ = 791244000. Its totient is φ = 61251840.

The previous prime is 242466571. The next prime is 242466607. The reversal of 242466600 is 6664242.

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

It is not an unprimeable number, because it can be changed into a prime (242466607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766 + ... + 22034.

It is an arithmetic number, because the mean of its divisors is an integer number (8242125).

Almost surely, 2242466600 is an apocalyptic number.

242466600 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 242466600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395622000).

242466600 is an abundant number, since it is smaller than the sum of its proper divisors (548777400).

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

242466600 is a wasteful number, since it uses less digits than its factorization.

242466600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21307 (or 21298 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 242466600 is about 15571.3390560992. The cubic root of 242466600 is about 623.5682211864.

The spelling of 242466600 in words is "two hundred forty-two million, four hundred sixty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 21269 42538 63807 85076 106345 127614 170152 212690 255228 319035 404111 425380 510456 531725 638070 808222 850760 1063450 1212333 1276140 1595175 1616444 2020555 2126900 2424666 2552280 3190350 3232888 4041110 4253800 4849332 6061665 6380700 8082220 9698664 10102775 12123330 12761400 16164440 20205550 24246660 30308325 40411100 48493320 60616650 80822200 121233300 242466600