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243242220 = 2235131092861
BaseRepresentation
bin11100111111110…
…01010011101100
3121221200222121010
432133321103230
5444232222340
640045305220
76012344664
oct1637712354
9557628533
10243242220
11115338531
1269565210
133b517810
142443b1a4
151654bb80
hexe7f94ec

243242220 has 96 divisors (see below), whose sum is σ = 740456640. Its totient is φ = 59304960.

The previous prime is 243242203. The next prime is 243242231. The reversal of 243242220 is 22242342.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83590 + ... + 86450.

It is an arithmetic number, because the mean of its divisors is an integer number (7713090).

Almost surely, 2243242220 is an apocalyptic number.

243242220 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 243242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370228320).

243242220 is an abundant number, since it is smaller than the sum of its proper divisors (497214420).

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

243242220 is a wasteful number, since it uses less digits than its factorization.

243242220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2995 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 243242220 is about 15596.2245431386. The cubic root of 243242220 is about 624.2324187631.

Adding to 243242220 its reverse (22242342), we get a palindrome (265484562).

The spelling of 243242220 in words is "two hundred forty-three million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1635 2180 2834 2861 3270 4251 5668 5722 6540 7085 8502 8583 11444 14170 14305 17004 17166 21255 28340 28610 34332 37193 42510 42915 57220 74386 85020 85830 111579 148772 171660 185965 223158 311849 371930 446316 557895 623698 743860 935547 1115790 1247396 1559245 1871094 2231580 3118490 3742188 4054037 4677735 6236980 8108074 9355470 12162111 16216148 18710940 20270185 24324222 40540370 48648444 60810555 81080740 121621110 243242220