Search a number
-
+
224334190158 = 231323447122663
BaseRepresentation
bin1101000011101101011…
…1000001011001001110
3210110001020100121220120
43100323113001121032
512133414023041113
6251020244125410
722131132103551
oct3207327013116
9713036317816
10224334190158
1187159890461
1237589096866
1318201927570
14ac01c70698
155c7e979a23
hex343b5c164e

224334190158 has 32 divisors (see below), whose sum is σ = 483205879296. Its totient is φ = 69022398048.

The previous prime is 224334190153. The next prime is 224334190183. The reversal of 224334190158 is 851091433422.

It is a happy number.

224334190158 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2243341901583 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224334190153) 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 15 ways as a sum of consecutive naturals, for example, 1767535 + ... + 1890197.

It is an arithmetic number, because the mean of its divisors is an integer number (15100183728).

Almost surely, 2224334190158 is an apocalyptic number.

224334190158 is an abundant number, since it is smaller than the sum of its proper divisors (258871689138).

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

224334190158 is a wasteful number, since it uses less digits than its factorization.

224334190158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146128.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 224334190158 in words is "two hundred twenty-four billion, three hundred thirty-four million, one hundred ninety thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 13 26 39 78 23447 46894 70341 122663 140682 245326 304811 367989 609622 735978 914433 1594619 1828866 3189238 4783857 9567714 2876079361 5752158722 8628238083 17256476166 37389031693 74778063386 112167095079 224334190158