Search a number
-
+
22209831 = 3271672111
BaseRepresentation
bin101010010111…
…0010100100111
31112210101011100
41110232110213
521141203311
62112011143
7356531460
oct124562447
945711140
1022209831
111159a636
127530ab3
1347a8217
142d41d67
151e3aa56
hex152e527

22209831 has 24 divisors (see below), whose sum is σ = 36900864. Its totient is φ = 12609360.

The previous prime is 22209829. The next prime is 22209833. The reversal of 22209831 is 13890222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22209829) and next prime (22209833).

It is not a de Polignac number, because 22209831 - 21 = 22209829 is a prime.

It is a super-2 number, since 2×222098312 = 986553186097122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22209795 and 22209804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22209833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9466 + ... + 11576.

It is an arithmetic number, because the mean of its divisors is an integer number (1537536).

Almost surely, 222209831 is an apocalyptic number.

22209831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22209831 is a deficient number, since it is larger than the sum of its proper divisors (14691033).

22209831 is a wasteful number, since it uses less digits than its factorization.

22209831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22209831 is about 4712.7307370568. The cubic root of 22209831 is about 281.0919562436.

The spelling of 22209831 in words is "twenty-two million, two hundred nine thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 21 63 167 501 1169 1503 2111 3507 6333 10521 14777 18999 44331 132993 352537 1057611 2467759 3172833 7403277 22209831