Search a number
-
+
4225230325224 = 233258683754517
BaseRepresentation
bin111101011111000011010…
…110100100010111101000
3112221221001120021201001100
4331133003112210113220
51023211232430401344
612553013301321400
7614156101120446
oct75370326442750
915857046251040
104225230325224
111389a01404617
12582a65106260
1324858c29541c
14108706201b96
1574d9444b569
hex3d7c35a45e8

4225230325224 has 24 divisors (see below), whose sum is σ = 11443332131010. Its totient is φ = 1408410108384.

The previous prime is 4225230325163. The next prime is 4225230325243.

4225230325224 is a `hidden beast` number, since 4 + 22 + 52 + 30 + 32 + 522 + 4 = 666.

4225230325224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 4209349788900 + 15880536324 = 2051670^2 + 126018^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

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 5 ways as a sum of consecutive naturals, for example, 29341877187 + ... + 29341877330.

Almost surely, 24225230325224 is an apocalyptic number.

It is an amenable number.

4225230325224 is an abundant number, since it is smaller than the sum of its proper divisors (7218101805786).

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

4225230325224 is a wasteful number, since it uses less digits than its factorization.

4225230325224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58683754529 (or 58683754522 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 4225230325224 in words is "four trillion, two hundred twenty-five billion, two hundred thirty million, three hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 58683754517 117367509034 176051263551 234735018068 352102527102 469470036136 528153790653 704205054204 1056307581306 1408410108408 2112615162612 4225230325224