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22009856 = 21111977
BaseRepresentation
bin101001111110…
…1100000000000
31112102012211212
41103331200000
521113303411
62103425252
7355036451
oct123754000
945365755
1022009856
1111473370
127455228
1347381ab
142ccd128
151deb68b
hex14fd800

22009856 has 48 divisors (see below), whose sum is σ = 48058920. Its totient is φ = 9994240.

The previous prime is 22009853. The next prime is 22009859. The reversal of 22009856 is 65890022.

It is an interprime number because it is at equal distance from previous prime (22009853) and next prime (22009859).

It is a super-2 number, since 2×220098562 = 968867522281472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22009853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22040 + ... + 23016.

Almost surely, 222009856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24029460).

22009856 is an abundant number, since it is smaller than the sum of its proper divisors (26049064).

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

22009856 is an equidigital number, since it uses as much as digits as its factorization.

22009856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 22009856 is about 4691.4662953068. The cubic root of 22009856 is about 280.2457706058.

Adding to 22009856 its reverse (65890022), we get a palindrome (87899878).

The spelling of 22009856 in words is "twenty-two million, nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 977 1024 1408 1954 2048 2816 3908 5632 7816 10747 11264 15632 21494 22528 31264 42988 62528 85976 125056 171952 250112 343904 500224 687808 1000448 1375616 2000896 2751232 5502464 11004928 22009856