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22125444 = 22311315407
BaseRepresentation
bin101010001100…
…1101110000100
31112122002101220
41110121232010
521131003234
62110120340
7356030445
oct124315604
945562356
1022125444
11115421a0
1274b00b0
1347789a3
142d1d2cc
151e20a49
hex1519b84

22125444 has 48 divisors (see below), whose sum is σ = 58146816. Its totient is φ = 6487200.

The previous prime is 22125437. The next prime is 22125469. The reversal of 22125444 is 44452122.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 1389 + ... + 6795.

It is an arithmetic number, because the mean of its divisors is an integer number (1211392).

Almost surely, 222125444 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 22125444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29073408).

22125444 is an abundant number, since it is smaller than the sum of its proper divisors (36021372).

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

22125444 is a wasteful number, since it uses less digits than its factorization.

22125444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456 (or 5454 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 22125444 is about 4703.7691269874. The cubic root of 22125444 is about 280.7354982892.

Adding to 22125444 its reverse (44452122), we get a palindrome (66577566).

The spelling of 22125444 in words is "twenty-two million, one hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 5407 10814 16221 21628 32442 59477 64884 118954 167617 178431 237908 335234 356862 502851 670468 713724 1005702 1843787 2011404 3687574 5531361 7375148 11062722 22125444