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22838841 = 38592
BaseRepresentation
bin101011100011…
…1111000111001
31120222100000000
41113013320321
521321320331
62133303213
7365061354
oct127077071
946870000
1022838841
111198a183
127794b09
13496860c
14306729b
1520120e6
hex15c7e39

22838841 has 27 divisors (see below), whose sum is σ = 34846981. Its totient is φ = 14967828.

The previous prime is 22838831. The next prime is 22838843. The reversal of 22838841 is 14883822.

It is a happy number.

The square root of 22838841 is 4779.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 22838841 - 27 = 22838713 is a prime.

It is a super-2 number, since 2×228388412 = 1043225316446562, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22838796 and 22838805.

It is not an unprimeable number, because it can be changed into a prime (22838843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 387070 + ... + 387128.

Almost surely, 222838841 is an apocalyptic number.

22838841 is the 4779-th square number.

22838841 is the 2390-th centered octagonal number.

It is an amenable number.

22838841 is a deficient number, since it is larger than the sum of its proper divisors (12008140).

22838841 is an frugal number, since it uses more digits than its factorization.

22838841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 62 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The cubic root of 22838841 is about 283.7209162426.

Multiplying 22838841 by its sum of digits (36), we get a square (822198276 = 286742).

The spelling of 22838841 in words is "twenty-two million, eight hundred thirty-eight thousand, eight hundred forty-one".

Divisors: 1 3 9 27 59 81 177 243 531 729 1593 2187 3481 4779 6561 10443 14337 31329 43011 93987 129033 281961 387099 845883 2537649 7612947 22838841