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243222342 = 2311231101107
BaseRepresentation
bin11100111111101…
…00011101000110
3121221122222022220
432133310131012
5444231103332
640045033210
76012233016
oct1637643506
9557588286
10243222342
11115324600
1269555806
133b50b75c
1424433c46
1516545d2c
hexe7f4746

243222342 has 96 divisors (see below), whose sum is σ = 562609152. Its totient is φ = 69960000.

The previous prime is 243222341. The next prime is 243222347.

It is a happy number.

243222342 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243222341) 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 47 ways as a sum of consecutive naturals, for example, 2273053 + ... + 2273159.

It is an arithmetic number, because the mean of its divisors is an integer number (5860512).

Almost surely, 2243222342 is an apocalyptic number.

243222342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243222342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281304576).

243222342 is an abundant number, since it is smaller than the sum of its proper divisors (319386810).

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

243222342 is a wasteful number, since it uses less digits than its factorization.

243222342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its digits is 4608, while the sum is 24.

The square root of 243222342 is about 15595.5872605042. The cubic root of 243222342 is about 624.2154139985.

The spelling of 243222342 in words is "two hundred forty-three million, two hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 107 121 186 202 214 242 303 321 341 363 606 642 682 726 1023 1111 1177 2046 2222 2354 3131 3317 3333 3531 3751 6262 6634 6666 7062 7502 9393 9951 10807 11253 12221 12947 18786 19902 21614 22506 24442 25894 32421 34441 36487 36663 38841 64842 68882 72974 73326 77682 103323 109461 118877 206646 218922 237754 335017 356631 378851 401357 670034 713262 757702 802714 1005051 1136553 1204071 1307647 2010102 2273106 2408142 2615294 3685187 3922941 7370374 7845882 11055561 22111122 40537057 81074114 121611171 243222342