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242204341224 = 23373491281557
BaseRepresentation
bin1110000110010010000…
…0001111001111101000
3212011011122012100200110
43201210200033033220
512432013302404344
6303133411334320
723333022634416
oct3414440171750
9764148170613
10242204341224
119379a04444a
123ab358b13a0
1319abbc93051
14ba1933a2b6
1564787343b9
hex386480f3e8

242204341224 has 64 divisors (see below), whose sum is σ = 615057819840. Its totient is φ = 79466365440.

The previous prime is 242204341193. The next prime is 242204341283. The reversal of 242204341224 is 422143402242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 242204341191 and 242204341200.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 719454 + ... + 1001010.

It is an arithmetic number, because the mean of its divisors is an integer number (9610278435).

Almost surely, 2242204341224 is an apocalyptic number.

242204341224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242204341224 is an abundant number, since it is smaller than the sum of its proper divisors (372853478616).

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

242204341224 is a wasteful number, since it uses less digits than its factorization.

242204341224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282130 (or 282126 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 242204341224 its reverse (422143402242), we get a palindrome (664347743466).

The spelling of 242204341224 in words is "two hundred forty-two billion, two hundred four million, three hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 491 584 876 982 1473 1752 1964 2946 3928 5892 11784 35843 71686 107529 143372 215058 281557 286744 430116 563114 844671 860232 1126228 1689342 2252456 3378684 6757368 20553661 41107322 61660983 82214644 123321966 138244487 164429288 246643932 276488974 414733461 493287864 552977948 829466922 1105955896 1658933844 3317867688 10091847551 20183695102 30275542653 40367390204 60551085306 80734780408 121102170612 242204341224