Search a number
-
+
224525200132363 = 1383893117517843
BaseRepresentation
bin110011000011010001011000…
…110011000000100100001011
31002102222101210020111100012111
4303003101120303000210023
5213412110102213213423
62113305241503123151
765202260523661654
oct6303213063004413
91072871706440174
10224525200132363
11655a466a129919
12212225a32a34b7
139838835324c20
143d631131a652b
151ae563806960d
hexcc3458cc090b

224525200132363 has 32 divisors (see below), whose sum is σ = 248254845995520. Its totient is φ = 201805342083840.

The previous prime is 224525200132361. The next prime is 224525200132403. The reversal of 224525200132363 is 363231002525422.

It is a cyclic number.

It is not a de Polignac number, because 224525200132363 - 21 = 224525200132361 is a prime.

It is a super-2 number, since 2×2245252001323632 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224525200132361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26106720 + ... + 33624562.

It is an arithmetic number, because the mean of its divisors is an integer number (7757963937360).

Almost surely, 2224525200132363 is an apocalyptic number.

224525200132363 is a deficient number, since it is larger than the sum of its proper divisors (23729645863157).

224525200132363 is a wasteful number, since it uses less digits than its factorization.

224525200132363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518339.

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 224525200132363 its reverse (363231002525422), we get a palindrome (587756202657785).

The spelling of 224525200132363 in words is "two hundred twenty-four trillion, five hundred twenty-five billion, two hundred million, one hundred thirty-two thousand, three hundred sixty-three".

Divisors: 1 13 83 89 311 1079 1157 4043 7387 25813 27679 96031 335569 359827 2297357 7517843 29865641 97731959 623980969 669088027 2338049173 8111752597 8698144351 30394639249 55534306241 194058081359 208086376397 721945981133 2522755057667 2705122893161 17271169240951 224525200132363