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22125816 = 23322331431
BaseRepresentation
bin101010001100…
…1110011111000
31112122002220200
41110121303320
521131011231
62110122200
7356031516
oct124316370
945562820
1022125816
11115424a9
1274b0360
134778bcb
142d1d4b6
151e20be6
hex1519cf8

22125816 has 96 divisors (see below), whose sum is σ = 64696320. Its totient is φ = 6811200.

The previous prime is 22125809. The next prime is 22125821. The reversal of 22125816 is 61852122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22125816.

It is a congruent number.

It is an unprimeable number.

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, 51121 + ... + 51551.

It is an arithmetic number, because the mean of its divisors is an integer number (673920).

Almost surely, 222125816 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 22125816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32348160).

22125816 is an abundant number, since it is smaller than the sum of its proper divisors (42570504).

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

22125816 is a wasteful number, since it uses less digits than its factorization.

22125816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 490 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 22125816 is about 4703.8086695783. The cubic root of 22125816 is about 280.7370716365.

Adding to 22125816 its reverse (61852122), we get a palindrome (83977938).

The spelling of 22125816 in words is "twenty-two million, one hundred twenty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 431 552 558 713 744 828 862 1116 1293 1426 1656 1724 2139 2232 2586 2852 3448 3879 4278 5172 5704 6417 7758 8556 9913 10344 12834 13361 15516 17112 19826 25668 26722 29739 31032 39652 40083 51336 53444 59478 79304 80166 89217 106888 118956 120249 160332 178434 237912 240498 307303 320664 356868 480996 614606 713736 921909 961992 1229212 1843818 2458424 2765727 3687636 5531454 7375272 11062908 22125816