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22084428 = 22317293733
BaseRepresentation
bin101010000111…
…1101101001100
31112120000010210
41110033231030
521123200203
62105202420
7355500042
oct124175514
945500123
1022084428
11115143a3
127490410
134763112
142d0c392
151e13803
hex150fb4c

22084428 has 48 divisors (see below), whose sum is σ = 56458080. Its totient is φ = 6687744.

The previous prime is 22084427. The next prime is 22084451. The reversal of 22084428 is 82448022.

It is a junction number, because it is equal to n+sod(n) for n = 22084395 and 22084404.

It is not an unprimeable number, because it can be changed into a prime (22084427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4050 + ... + 7782.

It is an arithmetic number, because the mean of its divisors is an integer number (1176210).

Almost surely, 222084428 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 22084428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28229040).

22084428 is an abundant number, since it is smaller than the sum of its proper divisors (34373652).

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

22084428 is a wasteful number, since it uses less digits than its factorization.

22084428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 22084428 is about 4699.4071966579. The cubic root of 22084428 is about 280.5619157871.

It can be divided in two parts, 220 and 84428, that added together give a palindrome (84648).

The spelling of 22084428 in words is "twenty-two million, eighty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 3733 5916 7466 11199 14932 22398 44796 63461 108257 126922 190383 216514 253844 324771 380766 433028 649542 761532 1299084 1840369 3680738 5521107 7361476 11042214 22084428