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205401253240 = 23539779129089
BaseRepresentation
bin1011111101001011011…
…1100110010101111000
3201122011202200210000201
42333102313212111320
511331130210100430
6234205433411544
720561014563001
oct2772267462570
9648152623021
10205401253240
117a12371a757
1233984569bb4
13164a533a901
149d275921a8
15552273a8ca
hex2fd2de6578

205401253240 has 32 divisors (see below), whose sum is σ = 462168018000. Its totient is φ = 82157799424.

The previous prime is 205401253201. The next prime is 205401253243. The reversal of 205401253240 is 42352104502.

It is a super-2 number, since 2×2054012532402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205401253199 and 205401253208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205401253243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1526616 + ... + 1655704.

Almost surely, 2205401253240 is an apocalyptic number.

205401253240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205401253240 is an abundant number, since it is smaller than the sum of its proper divisors (256766764760).

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

205401253240 is a wasteful number, since it uses less digits than its factorization.

205401253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168879 (or 168875 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 205401253240 its reverse (42352104502), we get a palindrome (247753357742).

The spelling of 205401253240 in words is "two hundred five billion, four hundred one million, two hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 39779 79558 129089 159116 198895 258178 318232 397790 516356 645445 795580 1032712 1290890 1591160 2581780 5163560 5135031331 10270062662 20540125324 25675156655 41080250648 51350313310 102700626620 205401253240