Search a number
-
+
22938455483922 = 2311347552355817
BaseRepresentation
bin1010011011100110001100…
…11111011010011000010010
310000012220011101212102121110
411031303012133122120102
511001310424100441142
6120441440405034150
74555151211355656
oct515630637323022
9100186141772543
1022938455483922
117344165130990
1226a57623b5956
13ca51193a9204
145943274d0a66
1529ba3648799c
hex14dcc67da612

22938455483922 has 16 divisors (see below), whose sum is σ = 50047539237792. Its totient is φ = 6951047116320.

The previous prime is 22938455483887. The next prime is 22938455483989.

22938455483922 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66), and also a Moran number because the ratio is a prime number: 347552355817 = 22938455483922 / (2 + 2 + 9 + 3 + 8 + 4 + 5 + 5 + 4 + 8 + 3 + 9 + 2 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173776177843 + ... + 173776177974.

It is an arithmetic number, because the mean of its divisors is an integer number (3127971202362).

Almost surely, 222938455483922 is an apocalyptic number.

22938455483922 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22938455483922 is an abundant number, since it is smaller than the sum of its proper divisors (27109083753870).

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

22938455483922 is a wasteful number, since it uses less digits than its factorization.

22938455483922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347552355833.

The product of its digits is 298598400, while the sum is 66.

The spelling of 22938455483922 in words is "twenty-two trillion, nine hundred thirty-eight billion, four hundred fifty-five million, four hundred eighty-three thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 347552355817 695104711634 1042657067451 2085314134902 3823075913987 7646151827974 11469227741961 22938455483922