Search a number
-
+
202345324320 = 2535421552759
BaseRepresentation
bin1011110001110010111…
…0001001111100100000
3201100021210102111122010
42330130232021330200
511303400400334240
6232542310312520
720422206610146
oct2743456117440
9640253374563
10202345324320
11788a572a067
1233271058740
13161091a3449
149b1778b596
1553e42ea280
hex2f1cb89f20

202345324320 has 48 divisors (see below), whose sum is σ = 637387773120. Its totient is φ = 53958753024.

The previous prime is 202345324297. The next prime is 202345324367. The reversal of 202345324320 is 23423543202.

It is a happy number.

202345324320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 210775900 + ... + 210776859.

It is an arithmetic number, because the mean of its divisors is an integer number (13278911940).

Almost surely, 2202345324320 is an apocalyptic number.

202345324320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202345324320 is an abundant number, since it is smaller than the sum of its proper divisors (435042448800).

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

202345324320 is a wasteful number, since it uses less digits than its factorization.

202345324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421552777 (or 421552769 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 202345324320 its reverse (23423543202), we get a palindrome (225768867522).

The spelling of 202345324320 in words is "two hundred two billion, three hundred forty-five million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 421552759 843105518 1264658277 1686211036 2107763795 2529316554 3372422072 4215527590 5058633108 6323291385 6744844144 8431055180 10117266216 12646582770 13489688288 16862110360 20234532432 25293165540 33724220720 40469064864 50586331080 67448441440 101172662160 202345324320