Search a number
-
+
232033223310112 = 2572163907855043
BaseRepresentation
bin110100110000100001110001…
…110110011111101100100000
31010102120011022021200200121201
4310300201301312133230200
5220403113020131410422
62141254331412330544
766605563403004400
oct6460416166375440
91112504267620551
10232033223310112
1167a29812512874
1222035715013a54
139c61840068073
14414267a000800
151bc5ab3924727
hexd30871d9fb20

232033223310112 has 72 divisors (see below), whose sum is σ = 534657623932656. Its totient is φ = 98832731292288.

The previous prime is 232033223309941. The next prime is 232033223310139. The reversal of 232033223310112 is 211013322330232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453671938 + ... + 454183105.

It is an arithmetic number, because the mean of its divisors is an integer number (7425800332398).

Almost surely, 2232033223310112 is an apocalyptic number.

It is an amenable number.

232033223310112 is an abundant number, since it is smaller than the sum of its proper divisors (302624400622544).

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

232033223310112 is a wasteful number, since it uses less digits than its factorization.

232033223310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907855230 (or 907855215 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 232033223310112 its reverse (211013322330232), we get a palindrome (443046545640344).

The spelling of 232033223310112 in words is "two hundred thirty-two trillion, thirty-three billion, two hundred twenty-three million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 163 196 224 326 392 652 784 1141 1304 1568 2282 2608 4564 5216 7987 9128 15974 18256 31948 36512 63896 127792 255584 907855043 1815710086 3631420172 6354985301 7262840344 12709970602 14525680688 25419941204 29051361376 44484897107 50839882408 88969794214 101679764816 147980372009 177939588428 203359529632 295960744018 355879176856 591921488036 711758353712 1035862604063 1183842976072 1423516707424 2071725208126 2367685952144 4143450416252 4735371904288 7251038228441 8286900832504 14502076456882 16573801665008 29004152913764 33147603330016 58008305827528 116016611655056 232033223310112