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22327104 = 2631031129
BaseRepresentation
bin101010100101…
…0111101000000
31120000100000210
41111022331000
521203431404
62114314120
7360530412
oct125127500
946010023
1022327104
111166a758
127588940
134819707
142d729b2
151e60689
hex154af40

22327104 has 56 divisors (see below), whose sum is σ = 59700160. Its totient is φ = 7363584.

The previous prime is 22327091. The next prime is 22327111. The reversal of 22327104 is 40172322.

It is a super-3 number, since 3×223271043 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19212 + ... + 20340.

Almost surely, 222327104 is an apocalyptic number.

22327104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22327104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29850080).

22327104 is an abundant number, since it is smaller than the sum of its proper divisors (37373056).

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

22327104 is a wasteful number, since it uses less digits than its factorization.

22327104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 22327104 is about 4725.1565053446. The cubic root of 22327104 is about 281.5858313291.

Adding to 22327104 its reverse (40172322), we get a palindrome (62499426).

The spelling of 22327104 in words is "twenty-two million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1129 1236 1648 2258 2472 3296 3387 4516 4944 6592 6774 9032 9888 13548 18064 19776 27096 36128 54192 72256 108384 116287 216768 232574 348861 465148 697722 930296 1395444 1860592 2790888 3721184 5581776 7442368 11163552 22327104