Search a number
-
+
223064125344 = 2533293881147
BaseRepresentation
bin1100111110111110101…
…0000110111110100000
3210022202201111122112000
43033233222012332200
512123313404002334
6250250234204000
722054510531644
oct3175752067640
9708681448460
10223064125344
1186667979a15
1237293883600
131805b770c18
14ab21302c24
155c081ee299
hex33efa86fa0

223064125344 has 96 divisors (see below), whose sum is σ = 652824930240. Its totient is φ = 74100854016.

The previous prime is 223064125321. The next prime is 223064125381. The reversal of 223064125344 is 443521460322.

223064125344 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 641 + 2 + 5 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223064125299 and 223064125308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187422 + ... + 693725.

It is an arithmetic number, because the mean of its divisors is an integer number (6800259690).

Almost surely, 2223064125344 is an apocalyptic number.

223064125344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223064125344 is an abundant number, since it is smaller than the sum of its proper divisors (429760804896).

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

223064125344 is a wasteful number, since it uses less digits than its factorization.

223064125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881459 (or 881445 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 223064125344 its reverse (443521460322), we get a palindrome (666585585666).

The spelling of 223064125344 in words is "two hundred twenty-three billion, sixty-four million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 293 432 586 864 879 1172 1758 2344 2637 3516 4688 5274 7032 7911 9376 10548 14064 15822 21096 28128 31644 42192 63288 84384 126576 253152 881147 1762294 2643441 3524588 5286882 7049176 7930323 10573764 14098352 15860646 21147528 23790969 28196704 31721292 42295056 47581938 63442584 84590112 95163876 126885168 190327752 253770336 258176071 380655504 516352142 761311008 774528213 1032704284 1549056426 2065408568 2323584639 3098112852 4130817136 4647169278 6196225704 6970753917 8261634272 9294338556 12392451408 13941507834 18588677112 24784902816 27883015668 37177354224 55766031336 74354708448 111532062672 223064125344