Search a number
-
+
303225100032 = 283896944021
BaseRepresentation
bin1000110100110011001…
…11111101011100000000
31001222200021112002021110
410122121213331130000
514432001111200112
6351144422123320
730623125552341
oct4323147753400
91058607462243
10303225100032
11107662733728
124a925580540
132279504801a
14109675c20c8
157d4a8b913c
hex46999fd700

303225100032 has 72 divisors (see below), whose sum is σ = 807129282960. Its totient is φ = 101061468160.

The previous prime is 303225099971. The next prime is 303225100037. The reversal of 303225100032 is 230001522303.

It is a super-2 number, since 2×3032251000322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 303225099981 and 303225100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303225100037) 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 7 ways as a sum of consecutive naturals, for example, 6866182 + ... + 6910202.

It is an arithmetic number, because the mean of its divisors is an integer number (11210128930).

Almost surely, 2303225100032 is an apocalyptic number.

303225100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

303225100032 is an abundant number, since it is smaller than the sum of its proper divisors (503904182928).

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

303225100032 is an equidigital number, since it uses as much as digits as its factorization.

303225100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53009 (or 52995 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 303225100032 its reverse (230001522303), we get a palindrome (533226622335).

The spelling of 303225100032 in words is "three hundred three billion, two hundred twenty-five million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 8969 17938 26907 35876 44021 53814 71752 88042 107628 132063 143504 176084 215256 264126 287008 352168 430512 528252 574016 704336 861024 1056504 1148032 1408672 1722048 2113008 2296064 2817344 3444096 4226016 5634688 6888192 8452032 11269376 16904064 33808128 394824349 789648698 1184473047 1579297396 2368946094 3158594792 4737892188 6317189584 9475784376 12634379168 18951568752 25268758336 37903137504 50537516672 75806275008 101075033344 151612550016 303225100032