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22100420 = 2251923061
BaseRepresentation
bin101010001001…
…1100111000100
31112120211002002
41110103213010
521124203140
62105404432
7355564466
oct124234704
945524062
1022100420
1111525411
127499718
13476a494
142d14136
151e18415
hex15139c4

22100420 has 36 divisors (see below), whose sum is σ = 48998124. Its totient is φ = 8372160.

The previous prime is 22100347. The next prime is 22100431. The reversal of 22100420 is 2400122.

It can be written as a sum of positive squares in 2 ways, for example, as 15618304 + 6482116 = 3952^2 + 2546^2 .

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 11 ways as a sum of consecutive naturals, for example, 5690 + ... + 8750.

It is an arithmetic number, because the mean of its divisors is an integer number (1361059).

Almost surely, 222100420 is an apocalyptic number.

22100420 is a gapful number since it is divisible by the number (20) 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 22100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24499062).

22100420 is an abundant number, since it is smaller than the sum of its proper divisors (26897704).

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

22100420 is a wasteful number, since it uses less digits than its factorization.

22100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 22100420 is about 4701.1083799462. The cubic root of 22100420 is about 280.6296205607.

Adding to 22100420 its reverse (2400122), we get a palindrome (24500542).

The spelling of 22100420 in words is "twenty-two million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3061 3610 6122 7220 12244 15305 30610 58159 61220 116318 232636 290795 581590 1105021 1163180 2210042 4420084 5525105 11050210 22100420