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242203414224 = 24339317128339
BaseRepresentation
bin1110000110010001110…
…0101100111011010000
3212011011120110021002010
43201210130230323100
512432013033223344
6303133335422520
723333012023662
oct3414434547320
9764146407063
10242203414224
1193799570a32
123ab35524a40
1319abba2a125
14ba19178532
1564785ee8b9
hex386472ced0

242203414224 has 40 divisors (see below), whose sum is σ = 625712942880. Its totient is φ = 80731788928.

The previous prime is 242203414213. The next prime is 242203414231. The reversal of 242203414224 is 422414302242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 242203414191 and 242203414200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1823047 + ... + 1951385.

It is an arithmetic number, because the mean of its divisors is an integer number (15642823572).

Almost surely, 2242203414224 is an apocalyptic number.

242203414224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242203414224 is an abundant number, since it is smaller than the sum of its proper divisors (383509528656).

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

242203414224 is a wasteful number, since it uses less digits than its factorization.

242203414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167667 (or 167661 counting only the distinct ones).

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

Adding to 242203414224 its reverse (422414302242), we get a palindrome (664617716466).

The spelling of 242203414224 in words is "two hundred forty-two billion, two hundred three million, four hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 39317 78634 117951 128339 157268 235902 256678 314536 385017 471804 513356 629072 770034 943608 1026712 1540068 1887216 2053424 3080136 6160272 5045904463 10091808926 15137713389 20183617852 30275426778 40367235704 60550853556 80734471408 121101707112 242203414224