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2242468444284 = 22321072392435803
BaseRepresentation
bin100000101000011101100…
…010001111100001111100
321221101012111000000221100
4200220131202033201330
5243220033410204114
64434101545133100
7321004313163315
oct40503542174174
97841174000840
102242468444284
11795030a80822
1230273218a190
13133605167103
147a770cd760c
153d4e99ce909
hex20a1d88f87c

2242468444284 has 72 divisors (see below), whose sum is σ = 5745379610880. Its totient is φ = 737404954272.

The previous prime is 2242468444193. The next prime is 2242468444327. The reversal of 2242468444284 is 4824448642422.

2242468444284 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 46 + 84 + 442 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2242468444284.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 297274 + ... + 2138529.

It is an arithmetic number, because the mean of its divisors is an integer number (79796939040).

Almost surely, 22242468444284 is an apocalyptic number.

It is an amenable number.

2242468444284 is an abundant number, since it is smaller than the sum of its proper divisors (3502911166596).

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

2242468444284 is a wasteful number, since it uses less digits than its factorization.

2242468444284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436159 (or 2436154 counting only the distinct ones).

The product of its digits is 25165824, while the sum is 54.

The spelling of 2242468444284 in words is "two trillion, two hundred forty-two billion, four hundred sixty-eight million, four hundred forty-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 239 321 428 478 642 717 956 963 1284 1434 1926 2151 2868 3852 4302 8604 25573 51146 76719 102292 153438 230157 306876 460314 920628 2435803 4871606 7307409 9743212 14614818 21922227 29229636 43844454 87688908 260630921 521261842 582156917 781892763 1042523684 1164313834 1563785526 1746470751 2328627668 2345678289 3127571052 3492941502 4691356578 5239412253 6985883004 9382713156 10478824506 20957649012 62290790119 124581580238 186872370357 249163160476 373744740714 560617111071 747489481428 1121234222142 2242468444284