Search a number
-
+
22104576 = 29341341
BaseRepresentation
bin101010001010…
…0101000000000
31112121000210000
41110110220000
521124321301
62105440000
7355612554
oct124245000
945530700
1022104576
111152854a
1274a0000
13476c340
142d15864
151e19786
hex1514a00

22104576 has 200 divisors, whose sum is σ = 72784404. Its totient is φ = 6635520.

The previous prime is 22104559. The next prime is 22104611. The reversal of 22104576 is 67540122.

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 4665600 = 4176^2 + 2160^2 .

It is a super-2 number, since 2×221045762 = 977224560279552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 539116 + ... + 539156.

Almost surely, 222104576 is an apocalyptic number.

22104576 is a gapful number since it is divisible by the number (26) 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 22104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36392202).

22104576 is an abundant number, since it is smaller than the sum of its proper divisors (50679828).

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

22104576 is an equidigital number, since it uses as much as digits as its factorization.

22104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22104576 is about 4701.5503825866. The cubic root of 22104576 is about 280.6472103260.

Adding to 22104576 its reverse (67540122), we get a palindrome (89644698).

It can be divided in two parts, 2210 and 4576, that added together give a triangular number (6786 = T116).

The spelling of 22104576 in words is "twenty-two million, one hundred four thousand, five hundred seventy-six".