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22210104 = 2337731811
BaseRepresentation
bin101010010111…
…0011000111000
31112210101112110
41110232120320
521141210404
62112012320
7356532330
oct124563070
945711473
1022210104
111159a864
1275310a0
1347a8397
142d420c0
151e3ab89
hex152e638

22210104 has 64 divisors (see below), whose sum is σ = 64362240. Its totient is φ = 6255360.

The previous prime is 22210103. The next prime is 22210121. The reversal of 22210104 is 40101222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 22210104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11359 + ... + 13169.

It is an arithmetic number, because the mean of its divisors is an integer number (1005660).

Almost surely, 222210104 is an apocalyptic number.

22210104 is a gapful number since it is divisible by the number (24) 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 22210104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32181120).

22210104 is an abundant number, since it is smaller than the sum of its proper divisors (42152136).

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

22210104 is a wasteful number, since it uses less digits than its factorization.

22210104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22210104 is about 4712.7597010669. The cubic root of 22210104 is about 281.0931079527.

Adding to 22210104 its reverse (40101222), we get a palindrome (62311326).

The spelling of 22210104 in words is "twenty-two million, two hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 1811 2044 3066 3622 4088 5433 6132 7244 10866 12264 12677 14488 21732 25354 38031 43464 50708 76062 101416 132203 152124 264406 304248 396609 528812 793218 925421 1057624 1586436 1850842 2776263 3172872 3701684 5552526 7403368 11105052 22210104