Search a number
-
+
22447414728 = 2332176572
BaseRepresentation
bin10100111001111110…
…000101110111001000
32010221101202211002200
4110321332011313020
5331433014232403
614151234000200
71423160606544
oct247176056710
963841684080
1022447414728
119579a86a22
124425716060
13216975502b
14112d368a24
158b5a5aca3
hex539f85dc8

22447414728 has 36 divisors (see below), whose sum is σ = 60798524865. Its totient is φ = 7482047808.

The previous prime is 22447414687. The next prime is 22447414793. The reversal of 22447414728 is 82741474422.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22447414728 is a `hidden beast` number, since 224 + 4 + 7 + 414 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18506337444 + 3941077284 = 136038^2 + 62778^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105942.

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 8 ways as a sum of consecutive naturals, for example, 1262476 + ... + 1280132.

Almost surely, 222447414728 is an apocalyptic number.

It is an amenable number.

22447414728 is an abundant number, since it is smaller than the sum of its proper divisors (38351110137).

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

22447414728 is an frugal number, since it uses more digits than its factorization.

22447414728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35326 (or 17662 counting only the distinct ones).

The product of its digits is 802816, while the sum is 45.

The spelling of 22447414728 in words is "twenty-two billion, four hundred forty-seven million, four hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17657 35314 52971 70628 105942 141256 158913 211884 317826 423768 635652 1271304 311769649 623539298 935308947 1247078596 1870617894 2494157192 2805926841 3741235788 5611853682 7482471576 11223707364 22447414728