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22125630 = 2353137643
BaseRepresentation
bin101010001100…
…1110000111110
31112122002122210
41110121300332
521131010010
62110121250
7356031132
oct124316076
945562583
1022125630
111154234a
1274b0226
134778ab7
142d1d3c2
151e20b20
hex1519c3e

22125630 has 64 divisors (see below), whose sum is σ = 56383488. Its totient is φ = 5546880.

The previous prime is 22125629. The next prime is 22125647. The reversal of 22125630 is 3652122.

It is a junction number, because it is equal to n+sod(n) for n = 22125597 and 22125606.

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 31 ways as a sum of consecutive naturals, for example, 34089 + ... + 34731.

It is an arithmetic number, because the mean of its divisors is an integer number (880992).

Almost surely, 222125630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22125630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28191744).

22125630 is an abundant number, since it is smaller than the sum of its proper divisors (34257858).

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

22125630 is a wasteful number, since it uses less digits than its factorization.

22125630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 22125630 is about 4703.7888983244. The cubic root of 22125630 is about 280.7362849651.

Adding to 22125630 its reverse (3652122), we get a palindrome (25777752).

The spelling of 22125630 in words is "twenty-two million, one hundred twenty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 643 930 1110 1147 1286 1929 2294 3215 3441 3858 5735 6430 6882 9645 11470 17205 19290 19933 23791 34410 39866 47582 59799 71373 99665 118955 119598 142746 199330 237910 298995 356865 597990 713730 737521 1475042 2212563 3687605 4425126 7375210 11062815 22125630