Search a number
-
+
233206432144 = 24710979189653
BaseRepresentation
bin1101100100110000101…
…1111100000110010000
3211021221120001012212121
43121030023330012100
512310101321312034
6255044503104024
722564033652350
oct3311413740620
9737846035777
10233206432144
118a9a1a51154
1239244442014
1318cb6a956aa
14b40430ab60
1560ed81c1b4
hex364c2fc190

233206432144 has 40 divisors (see below), whose sum is σ = 516435428160. Its totient is φ = 99935983488.

The previous prime is 233206432141. The next prime is 233206432177. The reversal of 233206432144 is 441234602332.

It is not an unprimeable number, because it can be changed into a prime (233206432141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134822 + ... + 1324474.

It is an arithmetic number, because the mean of its divisors is an integer number (12910885704).

Almost surely, 2233206432144 is an apocalyptic number.

It is an amenable number.

233206432144 is an abundant number, since it is smaller than the sum of its proper divisors (283228996016).

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

233206432144 is a wasteful number, since it uses less digits than its factorization.

233206432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200647 (or 200641 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 233206432144 in words is "two hundred thirty-three billion, two hundred six million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 10979 21958 43916 76853 87832 153706 175664 189653 307412 379306 614824 758612 1229648 1327571 1517224 2655142 3034448 5310284 10620568 21241136 2082200287 4164400574 8328801148 14575402009 16657602296 29150804018 33315204592 58301608036 116603216072 233206432144