Search a number
-
+
234011224044 = 2233138911316573
BaseRepresentation
bin1101100111110000100…
…1111110011111101100
3211101000122101212211000
43121330021332133230
512313223333132134
6255300412400300
722623005404413
oct3317411763754
9741018355730
10234011224044
1190275265224
1239429a76090
13190b4735710
14b47d16247a
1561492dde99
hex367c27e7ec

234011224044 has 192 divisors, whose sum is σ = 666593020800. Its totient is φ = 70560129024.

The previous prime is 234011224039. The next prime is 234011224063. The reversal of 234011224044 is 440422110432.

234011224044 is a `hidden beast` number, since 2 + 3 + 401 + 12 + 240 + 4 + 4 = 666.

It is a super-2 number, since 2×2340112240442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 234011223999 and 234011224017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14111742 + ... + 14128314.

It is an arithmetic number, because the mean of its divisors is an integer number (3471838650).

Almost surely, 2234011224044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234011224044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333296510400).

234011224044 is an abundant number, since it is smaller than the sum of its proper divisors (432581796756).

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

234011224044 is a wasteful number, since it uses less digits than its factorization.

234011224044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16801 (or 16793 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 234011224044 its reverse (440422110432), we get a palindrome (674433334476).

The spelling of 234011224044 in words is "two hundred thirty-four billion, eleven million, two hundred twenty-four thousand, forty-four".