Search a number
-
+
224120302320 = 2435933834593
BaseRepresentation
bin1101000010111010011…
…1000110101011110000
3210102111022212222221210
43100232213012223300
512132444244133240
6250543123520120
722122624065055
oct3205647065360
9712438788853
10224120302320
118705a082352
1237529529040
1318199519c05
14abc16b502c
155c6acca780
hex342e9c6af0

224120302320 has 40 divisors (see below), whose sum is σ = 694772937936. Its totient is φ = 59765413888.

The previous prime is 224120302283. The next prime is 224120302327. The reversal of 224120302320 is 23203021422.

224120302320 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224120302327) 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, 466917057 + ... + 466917536.

Almost surely, 2224120302320 is an apocalyptic number.

224120302320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224120302320 is an abundant number, since it is smaller than the sum of its proper divisors (470652635616).

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

224120302320 is a wasteful number, since it uses less digits than its factorization.

224120302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933834609 (or 933834603 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 224120302320 its reverse (23203021422), we get a palindrome (247323323742).

The spelling of 224120302320 in words is "two hundred twenty-four billion, one hundred twenty million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 933834593 1867669186 2801503779 3735338372 4669172965 5603007558 7470676744 9338345930 11206015116 14007518895 14941353488 18676691860 22412030232 28015037790 37353383720 44824060464 56030075580 74706767440 112060151160 224120302320