Search a number
-
+
2212326305664 = 2735761266421
BaseRepresentation
bin100000001100011000111…
…011000110111110000000
321211111101211020202000220
4200030120323012332000
5242221321013240124
64412154554343040
7315556336216206
oct40143073067600
97744354222026
102212326305664
11783273584962
122b891b72aa80
131308104c6427
1479111a4d076
153c83367a879
hex20318ec6f80

2212326305664 has 32 divisors (see below), whose sum is σ = 5876491750440. Its totient is φ = 737442101760.

The previous prime is 2212326305663. The next prime is 2212326305671. The reversal of 2212326305664 is 4665036232122.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212326305663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2880632827 + ... + 2880633594.

Almost surely, 22212326305664 is an apocalyptic number.

2212326305664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2212326305664 is an abundant number, since it is smaller than the sum of its proper divisors (3664165444776).

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

2212326305664 is an equidigital number, since it uses as much as digits as its factorization.

2212326305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761266438 (or 5761266426 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 2212326305664 in words is "two trillion, two hundred twelve billion, three hundred twenty-six million, three hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5761266421 11522532842 17283799263 23045065684 34567598526 46090131368 69135197052 92180262736 138270394104 184360525472 276540788208 368721050944 553081576416 737442101888 1106163152832 2212326305664