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22100022 = 2327434079
BaseRepresentation
bin101010001001…
…1100000110110
31112120210112100
41110103200312
521124200042
62105402530
7355563360
oct124234066
945523470
1022100022
111152508a
127499446
13476a249
142d13d30
151e1824c
hex1513836

22100022 has 48 divisors (see below), whose sum is σ = 56010240. Its totient is φ = 6165936.

The previous prime is 22099999. The next prime is 22100041. The reversal of 22100022 is 22000122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22099977 and 22100013.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 3379 + ... + 7457.

It is an arithmetic number, because the mean of its divisors is an integer number (1166880).

Almost surely, 222100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28005120).

22100022 is an abundant number, since it is smaller than the sum of its proper divisors (33910218).

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

22100022 is a wasteful number, since it uses less digits than its factorization.

22100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22100022 is about 4701.0660493126. The cubic root of 22100022 is about 280.6279359584.

Adding to 22100022 its reverse (22000122), we get a palindrome (44100144).

The spelling of 22100022 in words is "twenty-two million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 4079 5418 8158 12237 24474 28553 36711 57106 73422 85659 171318 175397 256977 350794 513954 526191 1052382 1227779 1578573 2455558 3157146 3683337 7366674 11050011 22100022