Search a number
-
+
22484592227328 = 21037111931712273
BaseRepresentation
bin1010001110011000110100…
…01000011111010000000000
32221121111122220002010020020
411013030122020133100000
510421341421102233303
6115453140140213440
74510313104343310
oct507143210372000
987544586063206
1022484592227328
11718973115a6a0
1226317b853a280
13c7139881670a
1457a38d8c1440
1528ed20e85a53
hex14731a21f400

22484592227328 has 1408 divisors, whose sum is σ = 82366762844160. Its totient is φ = 5276565504000.

The previous prime is 22484592227291. The next prime is 22484592227351. The reversal of 22484592227328 is 82372229548422.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9892032400 + ... + 9892034672.

Almost surely, 222484592227328 is an apocalyptic number.

22484592227328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22484592227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41183381422080).

22484592227328 is an abundant number, since it is smaller than the sum of its proper divisors (59882170616832).

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

22484592227328 is a wasteful number, since it uses less digits than its factorization.

22484592227328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2417 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 60.

The spelling of 22484592227328 in words is "twenty-two trillion, four hundred eighty-four billion, five hundred ninety-two million, two hundred twenty-seven thousand, three hundred twenty-eight".