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242220434330 = 25722917045773
BaseRepresentation
bin1110000110010101110…
…1101000001110011010
3212011012202110222021102
43201211131220032122
512432031412344310
6303135144311402
723333306502200
oct3414535501632
9764182428242
10242220434330
11937a8136436
123ab3b172562
1319ac24090b4
14ba1b529070
156479d628a5
hex386576839a

242220434330 has 48 divisors (see below), whose sum is σ = 524668923720. Its totient is φ = 80183311488.

The previous prime is 242220434327. The next prime is 242220434333. The reversal of 242220434330 is 33434022242.

It is a happy number.

242220434330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242220434327) and next prime (242220434333).

It can be written as a sum of positive squares in 4 ways, for example, as 173023553521 + 69196880809 = 415961^2 + 263053^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 242220434293 and 242220434302.

It is not an unprimeable number, because it can be changed into a prime (242220434333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8508677 + ... + 8537096.

Almost surely, 2242220434330 is an apocalyptic number.

242220434330 is an abundant number, since it is smaller than the sum of its proper divisors (282448489390).

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

242220434330 is a wasteful number, since it uses less digits than its factorization.

242220434330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17045823 (or 17045816 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 242220434330 its reverse (33434022242), we get a palindrome (275654456572).

The spelling of 242220434330 in words is "two hundred forty-two billion, two hundred twenty million, four hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 406 490 1015 1421 2030 2842 7105 14210 17045773 34091546 85228865 119320411 170457730 238640822 494327417 596602055 835242877 988654834 1193204110 1670485754 2471637085 3460291919 4176214385 4943274170 6920583838 8352428770 17301459595 24222043433 34602919190 48444086866 121110217165 242220434330