Search a number
-
+
2330526564 = 223264736849
BaseRepresentation
bin1000101011101001…
…0000001101100100
320000102022000102200
42022322100031210
514233103322224
61023131134500
7111516102042
oct21272201544
96012260380
102330526564
11a96581113
125505a4430
132b1aa2a02
14181737392
15d99015c9
hex8ae90364

2330526564 has 18 divisors (see below), whose sum is σ = 5891053350. Its totient is φ = 776842176.

The previous prime is 2330526563. The next prime is 2330526571. The reversal of 2330526564 is 4656250332.

2330526564 is a `hidden beast` number, since 2 + 330 + 5 + 265 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2048286564 + 282240000 = 45258^2 + 16800^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 64736849 = 2330526564 / (2 + 3 + 3 + 0 + 5 + 2 + 6 + 5 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (2330526563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32368389 + ... + 32368460.

Almost surely, 22330526564 is an apocalyptic number.

It is an amenable number.

2330526564 is an abundant number, since it is smaller than the sum of its proper divisors (3560526786).

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

2330526564 is a wasteful number, since it uses less digits than its factorization.

2330526564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64736859 (or 64736854 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2330526564 is about 48275.5275890383. The cubic root of 2330526564 is about 1325.8203656388.

Adding to 2330526564 its reverse (4656250332), we get a palindrome (6986776896).

The spelling of 2330526564 in words is "two billion, three hundred thirty million, five hundred twenty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 64736849 129473698 194210547 258947396 388421094 582631641 776842188 1165263282 2330526564