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22363441 = 47292
BaseRepresentation
bin101010101001…
…1110100110001
31120002011212121
41111103310301
521211112231
62115154241
7361041352
oct125236461
946064777
1022363441
1111694a91
1275a5981
134830109
142d81d29
151e6b311
hex1553d31

22363441 has 3 divisors (see below), whose sum is σ = 22368171. Its totient is φ = 22358712.

The previous prime is 22363433. The next prime is 22363487. The reversal of 22363441 is 14436322.

The square root of 22363441 is 4729.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 14436322 = 27218161.

It can be written as a sum of positive squares in only one way, i.e., 461041 + 21902400 = 679^2 + 4680^2 .

It is not a de Polignac number, because 22363441 - 23 = 22363433 is a prime.

It is a super-4 number, since 4×223634414 (a number of 31 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22363541) 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 2 ways as a sum of consecutive naturals, for example, 2365 + ... + 7093.

It is an arithmetic number, because the mean of its divisors is an integer number (7456057).

Almost surely, 222363441 is an apocalyptic number.

22363441 is the 4729-th square number.

22363441 is the 2365-th centered octagonal number.

It is an amenable number.

22363441 is a deficient number, since it is larger than the sum of its proper divisors (4730).

22363441 is an frugal number, since it uses more digits than its factorization.

22363441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9458 (or 4729 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The cubic root of 22363441 is about 281.7385073258.

Multiplying 22363441 by its sum of digits (25), we get a square (559086025 = 236452).

Adding to 22363441 its reverse (14436322), we get a palindrome (36799763).

The spelling of 22363441 in words is "twenty-two million, three hundred sixty-three thousand, four hundred forty-one".

Divisors: 1 4729 22363441