Search a number
-
+
22448435528484 = 22347231212132
BaseRepresentation
bin1010001101010101011110…
…00001101000001100100100
32221111001100001212111210000
411012222233001220030210
510420243343443402414
6115424400252501300
74504563105436200
oct506525701501444
987431301774700
1022448435528484
1171753676986a9
1226267a777a830
13c6ab55a7c864
1457871d917b00
1528de06abeb09
hex146aaf068324

22448435528484 has 405 divisors, whose sum is σ = 70597170814401. Its totient is φ = 6201823682880.

The previous prime is 22448435528479. The next prime is 22448435528567. The reversal of 22448435528484 is 48482553484422.

The square root of 22448435528484 is 4737978.

It is a perfect power (a square), and thus also a powerful number.

22448435528484 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 84 + 3 + 55 + 28 + 484 = 666.

It can be written as a sum of positive squares in only one way, i.e., 915791580900 + 21532643947584 = 956970^2 + 4640328^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 18506541462 + ... + 18506542674.

Almost surely, 222448435528484 is an apocalyptic number.

22448435528484 is the 4737978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22448435528484

22448435528484 is an abundant number, since it is smaller than the sum of its proper divisors (48148735285917).

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

22448435528484 is an equidigital number, since it uses as much as digits as its factorization.

22448435528484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 1256 counting only the distinct ones).

The product of its digits is 314572800, while the sum is 63.

The spelling of 22448435528484 in words is "twenty-two trillion, four hundred forty-eight billion, four hundred thirty-five million, five hundred twenty-eight thousand, four hundred eighty-four".