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202424214340 = 22551341197137
BaseRepresentation
bin1011110010000101101…
…1000110001101000100
3201100111021212112101201
42330201123012031010
511304031044324330
6232554205232244
720424155301205
oct2744133061504
9640437775351
10202424214340
1178936212327
1233293562684
131611c63552a
149b240455ac
1553eb1ceeca
hex2f216c6344

202424214340 has 24 divisors (see below), whose sum is σ = 425101286232. Its totient is φ = 80967697920.

The previous prime is 202424214313. The next prime is 202424214341. The reversal of 202424214340 is 43412424202.

It can be written as a sum of positive squares in 4 ways, for example, as 120724282116 + 81699932224 = 347454^2 + 285832^2 .

It is a super-3 number, since 3×2024242143403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202424214299 and 202424214308.

It is not an unprimeable number, because it can be changed into a prime (202424214341) 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 7 ways as a sum of consecutive naturals, for example, 928252 + ... + 1125388.

It is an arithmetic number, because the mean of its divisors is an integer number (17712553593).

Almost surely, 2202424214340 is an apocalyptic number.

202424214340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202424214340 is an abundant number, since it is smaller than the sum of its proper divisors (222677071892).

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

202424214340 is a wasteful number, since it uses less digits than its factorization.

202424214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248487 (or 248485 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 202424214340 its reverse (43412424202), we get a palindrome (245836638542).

The spelling of 202424214340 in words is "two hundred two billion, four hundred twenty-four million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 51341 102682 197137 205364 256705 394274 513410 788548 985685 1026820 1971370 3942740 10121210717 20242421434 40484842868 50606053585 101212107170 202424214340